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Finding the Third Proportional to 31,239 and 44,521.31

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Solution

The third proportional to 31,239 and 44,521.31 is: 63,451.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239 : 44,521.31 = 44,521.31 : x
  2. Step 2: Convert to fraction form
    31,239/44,521.31 = 44,521.31/x
  3. Step 3: Cross multiply
    31,239x = 44,521.31 × 44,521.31
  4. Step 4: Simplify right side
    31,239x = 1,982,147,266.72
  5. Step 5: Solve for x
    x = 1,982,147,266.72/31,239
  6. Step 6: Final answer
    x = 63,451.05

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