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Finding the Third Proportional to 12,740 and 13,892

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Solution

The third proportional to 12,740 and 13,892 is: 15,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740 : 13,892 = 13,892 : x
  2. Step 2: Convert to fraction form
    12,740/13,892 = 13,892/x
  3. Step 3: Cross multiply
    12,740x = 13,892 × 13,892
  4. Step 4: Simplify right side
    12,740x = 192,987,664
  5. Step 5: Solve for x
    x = 192,987,664/12,740
  6. Step 6: Final answer
    x = 15,148.17

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.