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Finding the Third Proportional to 12,713 and 29,527

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Solution

The third proportional to 12,713 and 29,527 is: 68,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713 : 29,527 = 29,527 : x
  2. Step 2: Convert to fraction form
    12,713/29,527 = 29,527/x
  3. Step 3: Cross multiply
    12,713x = 29,527 × 29,527
  4. Step 4: Simplify right side
    12,713x = 871,843,729
  5. Step 5: Solve for x
    x = 871,843,729/12,713
  6. Step 6: Final answer
    x = 68,578.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.