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Finding the Third Proportional to 5,402.25 and 6,902.38

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Solution

The third proportional to 5,402.25 and 6,902.38 is: 8,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.25 : 6,902.38 = 6,902.38 : x
  2. Step 2: Convert to fraction form
    5,402.25/6,902.38 = 6,902.38/x
  3. Step 3: Cross multiply
    5,402.25x = 6,902.38 × 6,902.38
  4. Step 4: Simplify right side
    5,402.25x = 47,642,780.64
  5. Step 5: Solve for x
    x = 47,642,780.64/5,402.25
  6. Step 6: Final answer
    x = 8,819.06

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.