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Finding the Third Proportional to 13,910 and 22,117

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Solution

The third proportional to 13,910 and 22,117 is: 35,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910 : 22,117 = 22,117 : x
  2. Step 2: Convert to fraction form
    13,910/22,117 = 22,117/x
  3. Step 3: Cross multiply
    13,910x = 22,117 × 22,117
  4. Step 4: Simplify right side
    13,910x = 489,161,689
  5. Step 5: Solve for x
    x = 489,161,689/13,910
  6. Step 6: Final answer
    x = 35,166.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.