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Finding the Third Proportional to 8,319.38 and 12,449.53

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Solution

The third proportional to 8,319.38 and 12,449.53 is: 18,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.38 : 12,449.53 = 12,449.53 : x
  2. Step 2: Convert to fraction form
    8,319.38/12,449.53 = 12,449.53/x
  3. Step 3: Cross multiply
    8,319.38x = 12,449.53 × 12,449.53
  4. Step 4: Simplify right side
    8,319.38x = 154,990,828.34
  5. Step 5: Solve for x
    x = 154,990,828.34/8,319.38
  6. Step 6: Final answer
    x = 18,630.10

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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.