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Finding the Third Proportional to 39,748 and 66,022

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Solution

The third proportional to 39,748 and 66,022 is: 109,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,748 : 66,022 = 66,022 : x
  2. Step 2: Convert to fraction form
    39,748/66,022 = 66,022/x
  3. Step 3: Cross multiply
    39,748x = 66,022 × 66,022
  4. Step 4: Simplify right side
    39,748x = 4,358,904,484
  5. Step 5: Solve for x
    x = 4,358,904,484/39,748
  6. Step 6: Final answer
    x = 109,663.49

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.