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Finding the Third Proportional to 29,800 and 39,750

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Solution

The third proportional to 29,800 and 39,750 is: 53,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,800 : 39,750 = 39,750 : x
  2. Step 2: Convert to fraction form
    29,800/39,750 = 39,750/x
  3. Step 3: Cross multiply
    29,800x = 39,750 × 39,750
  4. Step 4: Simplify right side
    29,800x = 1,580,062,500
  5. Step 5: Solve for x
    x = 1,580,062,500/29,800
  6. Step 6: Final answer
    x = 53,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.