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Finding the Third Proportional to 5,258.25 and 7,882.31

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Solution

The third proportional to 5,258.25 and 7,882.31 is: 11,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.25 : 7,882.31 = 7,882.31 : x
  2. Step 2: Convert to fraction form
    5,258.25/7,882.31 = 7,882.31/x
  3. Step 3: Cross multiply
    5,258.25x = 7,882.31 × 7,882.31
  4. Step 4: Simplify right side
    5,258.25x = 62,130,850.35
  5. Step 5: Solve for x
    x = 62,130,850.35/5,258.25
  6. Step 6: Final answer
    x = 11,815.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.