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Finding the Third Proportional to 31,134.38 and 48,341.81

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Solution

The third proportional to 31,134.38 and 48,341.81 is: 75,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.38 : 48,341.81 = 48,341.81 : x
  2. Step 2: Convert to fraction form
    31,134.38/48,341.81 = 48,341.81/x
  3. Step 3: Cross multiply
    31,134.38x = 48,341.81 × 48,341.81
  4. Step 4: Simplify right side
    31,134.38x = 2,336,930,835.79
  5. Step 5: Solve for x
    x = 2,336,930,835.79/31,134.38
  6. Step 6: Final answer
    x = 75,059.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.