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Finding the Third Proportional to 35,438 and 49,542

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Solution

The third proportional to 35,438 and 49,542 is: 69,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,438 : 49,542 = 49,542 : x
  2. Step 2: Convert to fraction form
    35,438/49,542 = 49,542/x
  3. Step 3: Cross multiply
    35,438x = 49,542 × 49,542
  4. Step 4: Simplify right side
    35,438x = 2,454,409,764
  5. Step 5: Solve for x
    x = 2,454,409,764/35,438
  6. Step 6: Final answer
    x = 69,259.26

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Why These Related Problems?

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