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Finding the Third Proportional to 13,220 and 27,737

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Solution

The third proportional to 13,220 and 27,737 is: 58,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220 : 27,737 = 27,737 : x
  2. Step 2: Convert to fraction form
    13,220/27,737 = 27,737/x
  3. Step 3: Cross multiply
    13,220x = 27,737 × 27,737
  4. Step 4: Simplify right side
    13,220x = 769,341,169
  5. Step 5: Solve for x
    x = 769,341,169/13,220
  6. Step 6: Final answer
    x = 58,195.25

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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.