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Finding the Third Proportional to 13,932 and 26,109

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Solution

The third proportional to 13,932 and 26,109 is: 48,929.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 26,109 = 26,109 : x
  2. Step 2: Convert to fraction form
    13,932/26,109 = 26,109/x
  3. Step 3: Cross multiply
    13,932x = 26,109 × 26,109
  4. Step 4: Simplify right side
    13,932x = 681,679,881
  5. Step 5: Solve for x
    x = 681,679,881/13,932
  6. Step 6: Final answer
    x = 48,929.08

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.