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Finding the Third Proportional to 12,174.75 and 16,279.88

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Solution

The third proportional to 12,174.75 and 16,279.88 is: 21,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.75 : 16,279.88 = 16,279.88 : x
  2. Step 2: Convert to fraction form
    12,174.75/16,279.88 = 16,279.88/x
  3. Step 3: Cross multiply
    12,174.75x = 16,279.88 × 16,279.88
  4. Step 4: Simplify right side
    12,174.75x = 265,034,330.02
  5. Step 5: Solve for x
    x = 265,034,330.02/12,174.75
  6. Step 6: Final answer
    x = 21,769.18

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.