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Finding the Third Proportional to 32,451.38 and 69,750.38

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Solution

The third proportional to 32,451.38 and 69,750.38 is: 149,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,451.38 : 69,750.38 = 69,750.38 : x
  2. Step 2: Convert to fraction form
    32,451.38/69,750.38 = 69,750.38/x
  3. Step 3: Cross multiply
    32,451.38x = 69,750.38 × 69,750.38
  4. Step 4: Simplify right side
    32,451.38x = 4,865,114,812.64
  5. Step 5: Solve for x
    x = 4,865,114,812.64/32,451.38
  6. Step 6: Final answer
    x = 149,920.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.