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Finding the Third Proportional to 29,040 and 63,613

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Solution

The third proportional to 29,040 and 63,613 is: 139,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,040 : 63,613 = 63,613 : x
  2. Step 2: Convert to fraction form
    29,040/63,613 = 63,613/x
  3. Step 3: Cross multiply
    29,040x = 63,613 × 63,613
  4. Step 4: Simplify right side
    29,040x = 4,046,613,769
  5. Step 5: Solve for x
    x = 4,046,613,769/29,040
  6. Step 6: Final answer
    x = 139,346.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.