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Finding the Third Proportional to 5,838.75 and 7,948.13

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Solution

The third proportional to 5,838.75 and 7,948.13 is: 10,819.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.75 : 7,948.13 = 7,948.13 : x
  2. Step 2: Convert to fraction form
    5,838.75/7,948.13 = 7,948.13/x
  3. Step 3: Cross multiply
    5,838.75x = 7,948.13 × 7,948.13
  4. Step 4: Simplify right side
    5,838.75x = 63,172,691.02
  5. Step 5: Solve for x
    x = 63,172,691.02/5,838.75
  6. Step 6: Final answer
    x = 10,819.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.