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Finding the Third Proportional to 31,302.38 and 47,727.75

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Solution

The third proportional to 31,302.38 and 47,727.75 is: 72,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302.38 : 47,727.75 = 47,727.75 : x
  2. Step 2: Convert to fraction form
    31,302.38/47,727.75 = 47,727.75/x
  3. Step 3: Cross multiply
    31,302.38x = 47,727.75 × 47,727.75
  4. Step 4: Simplify right side
    31,302.38x = 2,277,938,120.06
  5. Step 5: Solve for x
    x = 2,277,938,120.06/31,302.38
  6. Step 6: Final answer
    x = 72,772.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.