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Finding the Third Proportional to 47,449.50 and 74,049.75

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Solution

The third proportional to 47,449.50 and 74,049.75 is: 115,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,449.50 : 74,049.75 = 74,049.75 : x
  2. Step 2: Convert to fraction form
    47,449.50/74,049.75 = 74,049.75/x
  3. Step 3: Cross multiply
    47,449.50x = 74,049.75 × 74,049.75
  4. Step 4: Simplify right side
    47,449.50x = 5,483,365,475.06
  5. Step 5: Solve for x
    x = 5,483,365,475.06/47,449.50
  6. Step 6: Final answer
    x = 115,562.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.