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Finding the Third Proportional to 6,610 and 13,940

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Solution

The third proportional to 6,610 and 13,940 is: 29,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610 : 13,940 = 13,940 : x
  2. Step 2: Convert to fraction form
    6,610/13,940 = 13,940/x
  3. Step 3: Cross multiply
    6,610x = 13,940 × 13,940
  4. Step 4: Simplify right side
    6,610x = 194,323,600
  5. Step 5: Solve for x
    x = 194,323,600/6,610
  6. Step 6: Final answer
    x = 29,398.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.