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Finding the Third Proportional to 6,140.25 and 8,301.38

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Solution

The third proportional to 6,140.25 and 8,301.38 is: 11,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.25 : 8,301.38 = 8,301.38 : x
  2. Step 2: Convert to fraction form
    6,140.25/8,301.38 = 8,301.38/x
  3. Step 3: Cross multiply
    6,140.25x = 8,301.38 × 8,301.38
  4. Step 4: Simplify right side
    6,140.25x = 68,912,826.89
  5. Step 5: Solve for x
    x = 68,912,826.89/6,140.25
  6. Step 6: Final answer
    x = 11,223.13

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Why These Related Problems?

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