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Finding the Third Proportional to 6,711.40 and 15,163.14

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Solution

The third proportional to 6,711.40 and 15,163.14 is: 34,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.40 : 15,163.14 = 15,163.14 : x
  2. Step 2: Convert to fraction form
    6,711.40/15,163.14 = 15,163.14/x
  3. Step 3: Cross multiply
    6,711.40x = 15,163.14 × 15,163.14
  4. Step 4: Simplify right side
    6,711.40x = 229,920,715.15
  5. Step 5: Solve for x
    x = 229,920,715.15/6,711.40
  6. Step 6: Final answer
    x = 34,258.24

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.