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Finding the Third Proportional to 10,590 and 13,737

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Solution

The third proportional to 10,590 and 13,737 is: 17,819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 13,737 = 13,737 : x
  2. Step 2: Convert to fraction form
    10,590/13,737 = 13,737/x
  3. Step 3: Cross multiply
    10,590x = 13,737 × 13,737
  4. Step 4: Simplify right side
    10,590x = 188,705,169
  5. Step 5: Solve for x
    x = 188,705,169/10,590
  6. Step 6: Final answer
    x = 17,819.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.