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Finding the Third Proportional to 7,225 and 8,737

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Solution

The third proportional to 7,225 and 8,737 is: 10,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225 : 8,737 = 8,737 : x
  2. Step 2: Convert to fraction form
    7,225/8,737 = 8,737/x
  3. Step 3: Cross multiply
    7,225x = 8,737 × 8,737
  4. Step 4: Simplify right side
    7,225x = 76,335,169
  5. Step 5: Solve for x
    x = 76,335,169/7,225
  6. Step 6: Final answer
    x = 10,565.42

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.