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Finding the Third Proportional to 31,758.75 and 38,475

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Solution

The third proportional to 31,758.75 and 38,475 is: 46,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.75 : 38,475 = 38,475 : x
  2. Step 2: Convert to fraction form
    31,758.75/38,475 = 38,475/x
  3. Step 3: Cross multiply
    31,758.75x = 38,475 × 38,475
  4. Step 4: Simplify right side
    31,758.75x = 1,480,325,625
  5. Step 5: Solve for x
    x = 1,480,325,625/31,758.75
  6. Step 6: Final answer
    x = 46,611.58

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.