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Finding the Third Proportional to 31,793.63 and 49,260.38

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Solution

The third proportional to 31,793.63 and 49,260.38 is: 76,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.63 : 49,260.38 = 49,260.38 : x
  2. Step 2: Convert to fraction form
    31,793.63/49,260.38 = 49,260.38/x
  3. Step 3: Cross multiply
    31,793.63x = 49,260.38 × 49,260.38
  4. Step 4: Simplify right side
    31,793.63x = 2,426,584,545.14
  5. Step 5: Solve for x
    x = 2,426,584,545.14/31,793.63
  6. Step 6: Final answer
    x = 76,322.99

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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.