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Finding the Third Proportional to 44,660 and 66,382

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Solution

The third proportional to 44,660 and 66,382 is: 98,669.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,660 : 66,382 = 66,382 : x
  2. Step 2: Convert to fraction form
    44,660/66,382 = 66,382/x
  3. Step 3: Cross multiply
    44,660x = 66,382 × 66,382
  4. Step 4: Simplify right side
    44,660x = 4,406,569,924
  5. Step 5: Solve for x
    x = 4,406,569,924/44,660
  6. Step 6: Final answer
    x = 98,669.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.