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Finding the Third Proportional to 31,944.38 and 70,039.69

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Solution

The third proportional to 31,944.38 and 70,039.69 is: 153,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,944.38 : 70,039.69 = 70,039.69 : x
  2. Step 2: Convert to fraction form
    31,944.38/70,039.69 = 70,039.69/x
  3. Step 3: Cross multiply
    31,944.38x = 70,039.69 × 70,039.69
  4. Step 4: Simplify right side
    31,944.38x = 4,905,557,825.10
  5. Step 5: Solve for x
    x = 4,905,557,825.10/31,944.38
  6. Step 6: Final answer
    x = 153,565.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.