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Finding the Third Proportional to 31,196.81 and 44,141.91

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Solution

The third proportional to 31,196.81 and 44,141.91 is: 62,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.81 : 44,141.91 = 44,141.91 : x
  2. Step 2: Convert to fraction form
    31,196.81/44,141.91 = 44,141.91/x
  3. Step 3: Cross multiply
    31,196.81x = 44,141.91 × 44,141.91
  4. Step 4: Simplify right side
    31,196.81x = 1,948,507,887.38
  5. Step 5: Solve for x
    x = 1,948,507,887.38/31,196.81
  6. Step 6: Final answer
    x = 62,458.56

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.