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Finding the Third Proportional to 12,569 and 26,431

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Solution

The third proportional to 12,569 and 26,431 is: 55,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569 : 26,431 = 26,431 : x
  2. Step 2: Convert to fraction form
    12,569/26,431 = 26,431/x
  3. Step 3: Cross multiply
    12,569x = 26,431 × 26,431
  4. Step 4: Simplify right side
    12,569x = 698,597,761
  5. Step 5: Solve for x
    x = 698,597,761/12,569
  6. Step 6: Final answer
    x = 55,581.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.