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Finding the Third Proportional to 31,407.75 and 50,088.38

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Solution

The third proportional to 31,407.75 and 50,088.38 is: 79,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.75 : 50,088.38 = 50,088.38 : x
  2. Step 2: Convert to fraction form
    31,407.75/50,088.38 = 50,088.38/x
  3. Step 3: Cross multiply
    31,407.75x = 50,088.38 × 50,088.38
  4. Step 4: Simplify right side
    31,407.75x = 2,508,845,310.14
  5. Step 5: Solve for x
    x = 2,508,845,310.14/31,407.75
  6. Step 6: Final answer
    x = 79,879.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.