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Finding the Third Proportional to 31,131 and 40,952.25

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Solution

The third proportional to 31,131 and 40,952.25 is: 53,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131 : 40,952.25 = 40,952.25 : x
  2. Step 2: Convert to fraction form
    31,131/40,952.25 = 40,952.25/x
  3. Step 3: Cross multiply
    31,131x = 40,952.25 × 40,952.25
  4. Step 4: Simplify right side
    31,131x = 1,677,086,780.06
  5. Step 5: Solve for x
    x = 1,677,086,780.06/31,131
  6. Step 6: Final answer
    x = 53,871.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.