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Finding the Third Proportional to 3,713.34 and 5,752.27

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Solution

The third proportional to 3,713.34 and 5,752.27 is: 8,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.34 : 5,752.27 = 5,752.27 : x
  2. Step 2: Convert to fraction form
    3,713.34/5,752.27 = 5,752.27/x
  3. Step 3: Cross multiply
    3,713.34x = 5,752.27 × 5,752.27
  4. Step 4: Simplify right side
    3,713.34x = 33,088,559.82
  5. Step 5: Solve for x
    x = 33,088,559.82/3,713.34
  6. Step 6: Final answer
    x = 8,910.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.