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Finding the Third Proportional to 8,013.94 and 8,560.69

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Solution

The third proportional to 8,013.94 and 8,560.69 is: 9,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.94 : 8,560.69 = 8,560.69 : x
  2. Step 2: Convert to fraction form
    8,013.94/8,560.69 = 8,560.69/x
  3. Step 3: Cross multiply
    8,013.94x = 8,560.69 × 8,560.69
  4. Step 4: Simplify right side
    8,013.94x = 73,285,370.47
  5. Step 5: Solve for x
    x = 73,285,370.47/8,013.94
  6. Step 6: Final answer
    x = 9,144.74

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.