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Finding the Third Proportional to 5,470 and 11,654

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Solution

The third proportional to 5,470 and 11,654 is: 24,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470 : 11,654 = 11,654 : x
  2. Step 2: Convert to fraction form
    5,470/11,654 = 11,654/x
  3. Step 3: Cross multiply
    5,470x = 11,654 × 11,654
  4. Step 4: Simplify right side
    5,470x = 135,815,716
  5. Step 5: Solve for x
    x = 135,815,716/5,470
  6. Step 6: Final answer
    x = 24,829.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.