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Finding the Third Proportional to 31,498 and 44,036

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Solution

The third proportional to 31,498 and 44,036 is: 61,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 44,036 = 44,036 : x
  2. Step 2: Convert to fraction form
    31,498/44,036 = 44,036/x
  3. Step 3: Cross multiply
    31,498x = 44,036 × 44,036
  4. Step 4: Simplify right side
    31,498x = 1,939,169,296
  5. Step 5: Solve for x
    x = 1,939,169,296/31,498
  6. Step 6: Final answer
    x = 61,564.84

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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.