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Finding the Third Proportional to 31,678.41 and 44,288.25

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Solution

The third proportional to 31,678.41 and 44,288.25 is: 61,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.41 : 44,288.25 = 44,288.25 : x
  2. Step 2: Convert to fraction form
    31,678.41/44,288.25 = 44,288.25/x
  3. Step 3: Cross multiply
    31,678.41x = 44,288.25 × 44,288.25
  4. Step 4: Simplify right side
    31,678.41x = 1,961,449,088.06
  5. Step 5: Solve for x
    x = 1,961,449,088.06/31,678.41
  6. Step 6: Final answer
    x = 61,917.54

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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.