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Finding the Third Proportional to 6,258.94 and 9,747.42

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Solution

The third proportional to 6,258.94 and 9,747.42 is: 15,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.94 : 9,747.42 = 9,747.42 : x
  2. Step 2: Convert to fraction form
    6,258.94/9,747.42 = 9,747.42/x
  3. Step 3: Cross multiply
    6,258.94x = 9,747.42 × 9,747.42
  4. Step 4: Simplify right side
    6,258.94x = 95,012,233.21
  5. Step 5: Solve for x
    x = 95,012,233.21/6,258.94
  6. Step 6: Final answer
    x = 15,180.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.