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Finding the Third Proportional to 8,427.80 and 12,139.88

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Solution

The third proportional to 8,427.80 and 12,139.88 is: 17,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.80 : 12,139.88 = 12,139.88 : x
  2. Step 2: Convert to fraction form
    8,427.80/12,139.88 = 12,139.88/x
  3. Step 3: Cross multiply
    8,427.80x = 12,139.88 × 12,139.88
  4. Step 4: Simplify right side
    8,427.80x = 147,376,565.02
  5. Step 5: Solve for x
    x = 147,376,565.02/8,427.80
  6. Step 6: Final answer
    x = 17,486.96

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.