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Finding the Third Proportional to 31,209.75 and 48,270.94

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Solution

The third proportional to 31,209.75 and 48,270.94 is: 74,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,209.75 : 48,270.94 = 48,270.94 : x
  2. Step 2: Convert to fraction form
    31,209.75/48,270.94 = 48,270.94/x
  3. Step 3: Cross multiply
    31,209.75x = 48,270.94 × 48,270.94
  4. Step 4: Simplify right side
    31,209.75x = 2,330,083,407.13
  5. Step 5: Solve for x
    x = 2,330,083,407.13/31,209.75
  6. Step 6: Final answer
    x = 74,658.83

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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.