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Finding the Third Proportional to 12,614 and 29,465

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Solution

The third proportional to 12,614 and 29,465 is: 68,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614 : 29,465 = 29,465 : x
  2. Step 2: Convert to fraction form
    12,614/29,465 = 29,465/x
  3. Step 3: Cross multiply
    12,614x = 29,465 × 29,465
  4. Step 4: Simplify right side
    12,614x = 868,186,225
  5. Step 5: Solve for x
    x = 868,186,225/12,614
  6. Step 6: Final answer
    x = 68,827.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.