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Finding the Third Proportional to 30,642 and 48,149.25

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Solution

The third proportional to 30,642 and 48,149.25 is: 75,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642 : 48,149.25 = 48,149.25 : x
  2. Step 2: Convert to fraction form
    30,642/48,149.25 = 48,149.25/x
  3. Step 3: Cross multiply
    30,642x = 48,149.25 × 48,149.25
  4. Step 4: Simplify right side
    30,642x = 2,318,350,275.56
  5. Step 5: Solve for x
    x = 2,318,350,275.56/30,642
  6. Step 6: Final answer
    x = 75,659.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.