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Finding the Third Proportional to 30,682.13 and 63,757.13

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Solution

The third proportional to 30,682.13 and 63,757.13 is: 132,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.13 : 63,757.13 = 63,757.13 : x
  2. Step 2: Convert to fraction form
    30,682.13/63,757.13 = 63,757.13/x
  3. Step 3: Cross multiply
    30,682.13x = 63,757.13 × 63,757.13
  4. Step 4: Simplify right side
    30,682.13x = 4,064,970,988.27
  5. Step 5: Solve for x
    x = 4,064,970,988.27/30,682.13
  6. Step 6: Final answer
    x = 132,486.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.