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Finding the Third Proportional to 31,566.38 and 52,604.44

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Solution

The third proportional to 31,566.38 and 52,604.44 is: 87,663.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.38 : 52,604.44 = 52,604.44 : x
  2. Step 2: Convert to fraction form
    31,566.38/52,604.44 = 52,604.44/x
  3. Step 3: Cross multiply
    31,566.38x = 52,604.44 × 52,604.44
  4. Step 4: Simplify right side
    31,566.38x = 2,767,226,844.69
  5. Step 5: Solve for x
    x = 2,767,226,844.69/31,566.38
  6. Step 6: Final answer
    x = 87,663.75

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.