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Finding the Third Proportional to 31,933.75 and 48,342.38

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Solution

The third proportional to 31,933.75 and 48,342.38 is: 73,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933.75 : 48,342.38 = 48,342.38 : x
  2. Step 2: Convert to fraction form
    31,933.75/48,342.38 = 48,342.38/x
  3. Step 3: Cross multiply
    31,933.75x = 48,342.38 × 48,342.38
  4. Step 4: Simplify right side
    31,933.75x = 2,336,985,220.64
  5. Step 5: Solve for x
    x = 2,336,985,220.64/31,933.75
  6. Step 6: Final answer
    x = 73,182.30

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Why These Related Problems?

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