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Finding the Third Proportional to 20,184.38 and 31,502.81

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Solution

The third proportional to 20,184.38 and 31,502.81 is: 49,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.38 : 31,502.81 = 31,502.81 : x
  2. Step 2: Convert to fraction form
    20,184.38/31,502.81 = 31,502.81/x
  3. Step 3: Cross multiply
    20,184.38x = 31,502.81 × 31,502.81
  4. Step 4: Simplify right side
    20,184.38x = 992,427,195.41
  5. Step 5: Solve for x
    x = 992,427,195.41/20,184.38
  6. Step 6: Final answer
    x = 49,168.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.