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Finding the Third Proportional to 5,278.78 and 7,125.47

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Solution

The third proportional to 5,278.78 and 7,125.47 is: 9,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.78 : 7,125.47 = 7,125.47 : x
  2. Step 2: Convert to fraction form
    5,278.78/7,125.47 = 7,125.47/x
  3. Step 3: Cross multiply
    5,278.78x = 7,125.47 × 7,125.47
  4. Step 4: Simplify right side
    5,278.78x = 50,772,304.91
  5. Step 5: Solve for x
    x = 50,772,304.91/5,278.78
  6. Step 6: Final answer
    x = 9,618.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.