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Finding the Third Proportional to 12,371 and 26,687

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Solution

The third proportional to 12,371 and 26,687 is: 57,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371 : 26,687 = 26,687 : x
  2. Step 2: Convert to fraction form
    12,371/26,687 = 26,687/x
  3. Step 3: Cross multiply
    12,371x = 26,687 × 26,687
  4. Step 4: Simplify right side
    12,371x = 712,195,969
  5. Step 5: Solve for x
    x = 712,195,969/12,371
  6. Step 6: Final answer
    x = 57,569.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.