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Finding the Third Proportional to 12,587 and 26,398

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Solution

The third proportional to 12,587 and 26,398 is: 55,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587 : 26,398 = 26,398 : x
  2. Step 2: Convert to fraction form
    12,587/26,398 = 26,398/x
  3. Step 3: Cross multiply
    12,587x = 26,398 × 26,398
  4. Step 4: Simplify right side
    12,587x = 696,854,404
  5. Step 5: Solve for x
    x = 696,854,404/12,587
  6. Step 6: Final answer
    x = 55,363.03

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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.