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Finding the Third Proportional to 6,432.75 and 7,320.38

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Solution

The third proportional to 6,432.75 and 7,320.38 is: 8,330.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.75 : 7,320.38 = 7,320.38 : x
  2. Step 2: Convert to fraction form
    6,432.75/7,320.38 = 7,320.38/x
  3. Step 3: Cross multiply
    6,432.75x = 7,320.38 × 7,320.38
  4. Step 4: Simplify right side
    6,432.75x = 53,587,890.14
  5. Step 5: Solve for x
    x = 53,587,890.14/6,432.75
  6. Step 6: Final answer
    x = 8,330.48

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.