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Finding the Third Proportional to 40,782 and 62,703

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Solution

The third proportional to 40,782 and 62,703 is: 96,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,782 : 62,703 = 62,703 : x
  2. Step 2: Convert to fraction form
    40,782/62,703 = 62,703/x
  3. Step 3: Cross multiply
    40,782x = 62,703 × 62,703
  4. Step 4: Simplify right side
    40,782x = 3,931,666,209
  5. Step 5: Solve for x
    x = 3,931,666,209/40,782
  6. Step 6: Final answer
    x = 96,406.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.