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Finding the Third Proportional to 40,731 and 63,068

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Solution

The third proportional to 40,731 and 63,068 is: 97,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,731 : 63,068 = 63,068 : x
  2. Step 2: Convert to fraction form
    40,731/63,068 = 63,068/x
  3. Step 3: Cross multiply
    40,731x = 63,068 × 63,068
  4. Step 4: Simplify right side
    40,731x = 3,977,572,624
  5. Step 5: Solve for x
    x = 3,977,572,624/40,731
  6. Step 6: Final answer
    x = 97,654.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.