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Finding the Third Proportional to 35,403 and 76,542

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Solution

The third proportional to 35,403 and 76,542 is: 165,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,403 : 76,542 = 76,542 : x
  2. Step 2: Convert to fraction form
    35,403/76,542 = 76,542/x
  3. Step 3: Cross multiply
    35,403x = 76,542 × 76,542
  4. Step 4: Simplify right side
    35,403x = 5,858,677,764
  5. Step 5: Solve for x
    x = 5,858,677,764/35,403
  6. Step 6: Final answer
    x = 165,485.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.