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Finding the Third Proportional to 31,059.75 and 41,381.50

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Solution

The third proportional to 31,059.75 and 41,381.50 is: 55,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.75 : 41,381.50 = 41,381.50 : x
  2. Step 2: Convert to fraction form
    31,059.75/41,381.50 = 41,381.50/x
  3. Step 3: Cross multiply
    31,059.75x = 41,381.50 × 41,381.50
  4. Step 4: Simplify right side
    31,059.75x = 1,712,428,542.25
  5. Step 5: Solve for x
    x = 1,712,428,542.25/31,059.75
  6. Step 6: Final answer
    x = 55,133.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.