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Finding the Third Proportional to 6,113.25 and 9,145.13

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Solution

The third proportional to 6,113.25 and 9,145.13 is: 13,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.25 : 9,145.13 = 9,145.13 : x
  2. Step 2: Convert to fraction form
    6,113.25/9,145.13 = 9,145.13/x
  3. Step 3: Cross multiply
    6,113.25x = 9,145.13 × 9,145.13
  4. Step 4: Simplify right side
    6,113.25x = 83,633,311.27
  5. Step 5: Solve for x
    x = 83,633,311.27/6,113.25
  6. Step 6: Final answer
    x = 13,680.66

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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.