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Finding the Third Proportional to 31,390 and 44,740

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Solution

The third proportional to 31,390 and 44,740 is: 63,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390 : 44,740 = 44,740 : x
  2. Step 2: Convert to fraction form
    31,390/44,740 = 44,740/x
  3. Step 3: Cross multiply
    31,390x = 44,740 × 44,740
  4. Step 4: Simplify right side
    31,390x = 2,001,667,600
  5. Step 5: Solve for x
    x = 2,001,667,600/31,390
  6. Step 6: Final answer
    x = 63,767.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.