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Finding the Third Proportional to 35,448 and 49,566

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Solution

The third proportional to 35,448 and 49,566 is: 69,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,448 : 49,566 = 49,566 : x
  2. Step 2: Convert to fraction form
    35,448/49,566 = 49,566/x
  3. Step 3: Cross multiply
    35,448x = 49,566 × 49,566
  4. Step 4: Simplify right side
    35,448x = 2,456,788,356
  5. Step 5: Solve for x
    x = 2,456,788,356/35,448
  6. Step 6: Final answer
    x = 69,306.83

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.