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Finding the Third Proportional to 5,391.66 and 8,258.13

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Solution

The third proportional to 5,391.66 and 8,258.13 is: 12,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.66 : 8,258.13 = 8,258.13 : x
  2. Step 2: Convert to fraction form
    5,391.66/8,258.13 = 8,258.13/x
  3. Step 3: Cross multiply
    5,391.66x = 8,258.13 × 8,258.13
  4. Step 4: Simplify right side
    5,391.66x = 68,196,757.55
  5. Step 5: Solve for x
    x = 68,196,757.55/5,391.66
  6. Step 6: Final answer
    x = 12,648.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.