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Finding the Third Proportional to 40,614 and 63,130

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Solution

The third proportional to 40,614 and 63,130 is: 98,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614 : 63,130 = 63,130 : x
  2. Step 2: Convert to fraction form
    40,614/63,130 = 63,130/x
  3. Step 3: Cross multiply
    40,614x = 63,130 × 63,130
  4. Step 4: Simplify right side
    40,614x = 3,985,396,900
  5. Step 5: Solve for x
    x = 3,985,396,900/40,614
  6. Step 6: Final answer
    x = 98,128.65

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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.