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Finding the Third Proportional to 31,678.31 and 44,288.19

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Solution

The third proportional to 31,678.31 and 44,288.19 is: 61,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.31 : 44,288.19 = 44,288.19 : x
  2. Step 2: Convert to fraction form
    31,678.31/44,288.19 = 44,288.19/x
  3. Step 3: Cross multiply
    31,678.31x = 44,288.19 × 44,288.19
  4. Step 4: Simplify right side
    31,678.31x = 1,961,443,552.04
  5. Step 5: Solve for x
    x = 1,961,443,552.04/31,678.31
  6. Step 6: Final answer
    x = 61,917.55

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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.