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Finding the Third Proportional to 39,366 and 86,022

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Solution

The third proportional to 39,366 and 86,022 is: 187,974

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,366 : 86,022 = 86,022 : x
  2. Step 2: Convert to fraction form
    39,366/86,022 = 86,022/x
  3. Step 3: Cross multiply
    39,366x = 86,022 × 86,022
  4. Step 4: Simplify right side
    39,366x = 7,399,784,484
  5. Step 5: Solve for x
    x = 7,399,784,484/39,366
  6. Step 6: Final answer
    x = 187,974

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.