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Finding the Third Proportional to 12,079.76 and 17,165.67

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Solution

The third proportional to 12,079.76 and 17,165.67 is: 24,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.76 : 17,165.67 = 17,165.67 : x
  2. Step 2: Convert to fraction form
    12,079.76/17,165.67 = 17,165.67/x
  3. Step 3: Cross multiply
    12,079.76x = 17,165.67 × 17,165.67
  4. Step 4: Simplify right side
    12,079.76x = 294,660,290.92
  5. Step 5: Solve for x
    x = 294,660,290.92/12,079.76
  6. Step 6: Final answer
    x = 24,392.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.