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Finding the Third Proportional to 32,892.75 and 74,049.75

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Solution

The third proportional to 32,892.75 and 74,049.75 is: 166,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,892.75 : 74,049.75 = 74,049.75 : x
  2. Step 2: Convert to fraction form
    32,892.75/74,049.75 = 74,049.75/x
  3. Step 3: Cross multiply
    32,892.75x = 74,049.75 × 74,049.75
  4. Step 4: Simplify right side
    32,892.75x = 5,483,365,475.06
  5. Step 5: Solve for x
    x = 5,483,365,475.06/32,892.75
  6. Step 6: Final answer
    x = 166,704.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.