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Finding the Third Proportional to 5,704.17 and 8,701.17

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Solution

The third proportional to 5,704.17 and 8,701.17 is: 13,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.17 : 8,701.17 = 8,701.17 : x
  2. Step 2: Convert to fraction form
    5,704.17/8,701.17 = 8,701.17/x
  3. Step 3: Cross multiply
    5,704.17x = 8,701.17 × 8,701.17
  4. Step 4: Simplify right side
    5,704.17x = 75,710,392.00
  5. Step 5: Solve for x
    x = 75,710,392.00/5,704.17
  6. Step 6: Final answer
    x = 13,272.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.