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Finding the Third Proportional to 31,948.13 and 48,369.94

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Solution

The third proportional to 31,948.13 and 48,369.94 is: 73,232.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,948.13 : 48,369.94 = 48,369.94 : x
  2. Step 2: Convert to fraction form
    31,948.13/48,369.94 = 48,369.94/x
  3. Step 3: Cross multiply
    31,948.13x = 48,369.94 × 48,369.94
  4. Step 4: Simplify right side
    31,948.13x = 2,339,650,853.75
  5. Step 5: Solve for x
    x = 2,339,650,853.75/31,948.13
  6. Step 6: Final answer
    x = 73,232.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.