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Finding the Third Proportional to 39,474 and 60,022

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Solution

The third proportional to 39,474 and 60,022 is: 91,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 60,022 = 60,022 : x
  2. Step 2: Convert to fraction form
    39,474/60,022 = 60,022/x
  3. Step 3: Cross multiply
    39,474x = 60,022 × 60,022
  4. Step 4: Simplify right side
    39,474x = 3,602,640,484
  5. Step 5: Solve for x
    x = 3,602,640,484/39,474
  6. Step 6: Final answer
    x = 91,266.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.