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Finding the Third Proportional to 7,497.56 and 8,267.06

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Solution

The third proportional to 7,497.56 and 8,267.06 is: 9,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.56 : 8,267.06 = 8,267.06 : x
  2. Step 2: Convert to fraction form
    7,497.56/8,267.06 = 8,267.06/x
  3. Step 3: Cross multiply
    7,497.56x = 8,267.06 × 8,267.06
  4. Step 4: Simplify right side
    7,497.56x = 68,344,322.38
  5. Step 5: Solve for x
    x = 68,344,322.38/7,497.56
  6. Step 6: Final answer
    x = 9,115.54

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.