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Finding the Third Proportional to 7,584 and 8,432

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Solution

The third proportional to 7,584 and 8,432 is: 9,374.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 8,432 = 8,432 : x
  2. Step 2: Convert to fraction form
    7,584/8,432 = 8,432/x
  3. Step 3: Cross multiply
    7,584x = 8,432 × 8,432
  4. Step 4: Simplify right side
    7,584x = 71,098,624
  5. Step 5: Solve for x
    x = 71,098,624/7,584
  6. Step 6: Final answer
    x = 9,374.82

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.