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Finding the Third Proportional to 6,287.58 and 9,432.14

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Solution

The third proportional to 6,287.58 and 9,432.14 is: 14,149.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.58 : 9,432.14 = 9,432.14 : x
  2. Step 2: Convert to fraction form
    6,287.58/9,432.14 = 9,432.14/x
  3. Step 3: Cross multiply
    6,287.58x = 9,432.14 × 9,432.14
  4. Step 4: Simplify right side
    6,287.58x = 88,965,276.77
  5. Step 5: Solve for x
    x = 88,965,276.77/6,287.58
  6. Step 6: Final answer
    x = 14,149.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.