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Finding the Third Proportional to 6,500.25 and 8,737.88

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Solution

The third proportional to 6,500.25 and 8,737.88 is: 11,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.25 : 8,737.88 = 8,737.88 : x
  2. Step 2: Convert to fraction form
    6,500.25/8,737.88 = 8,737.88/x
  3. Step 3: Cross multiply
    6,500.25x = 8,737.88 × 8,737.88
  4. Step 4: Simplify right side
    6,500.25x = 76,350,459.52
  5. Step 5: Solve for x
    x = 76,350,459.52/6,500.25
  6. Step 6: Final answer
    x = 11,745.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.