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Finding the Third Proportional to 31,881.38 and 46,849.78

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Solution

The third proportional to 31,881.38 and 46,849.78 is: 68,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.38 : 46,849.78 = 46,849.78 : x
  2. Step 2: Convert to fraction form
    31,881.38/46,849.78 = 46,849.78/x
  3. Step 3: Cross multiply
    31,881.38x = 46,849.78 × 46,849.78
  4. Step 4: Simplify right side
    31,881.38x = 2,194,902,003.17
  5. Step 5: Solve for x
    x = 2,194,902,003.17/31,881.38
  6. Step 6: Final answer
    x = 68,845.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.