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Finding the Third Proportional to 31,498 and 44,094

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Solution

The third proportional to 31,498 and 44,094 is: 61,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 44,094 = 44,094 : x
  2. Step 2: Convert to fraction form
    31,498/44,094 = 44,094/x
  3. Step 3: Cross multiply
    31,498x = 44,094 × 44,094
  4. Step 4: Simplify right side
    31,498x = 1,944,280,836
  5. Step 5: Solve for x
    x = 1,944,280,836/31,498
  6. Step 6: Final answer
    x = 61,727.12

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