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Finding the Third Proportional to 31,740 and 44,412

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Solution

The third proportional to 31,740 and 44,412 is: 62,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740 : 44,412 = 44,412 : x
  2. Step 2: Convert to fraction form
    31,740/44,412 = 44,412/x
  3. Step 3: Cross multiply
    31,740x = 44,412 × 44,412
  4. Step 4: Simplify right side
    31,740x = 1,972,425,744
  5. Step 5: Solve for x
    x = 1,972,425,744/31,740
  6. Step 6: Final answer
    x = 62,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.