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Finding the Third Proportional to 26,500 and 39,750

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Solution

The third proportional to 26,500 and 39,750 is: 59,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500 : 39,750 = 39,750 : x
  2. Step 2: Convert to fraction form
    26,500/39,750 = 39,750/x
  3. Step 3: Cross multiply
    26,500x = 39,750 × 39,750
  4. Step 4: Simplify right side
    26,500x = 1,580,062,500
  5. Step 5: Solve for x
    x = 1,580,062,500/26,500
  6. Step 6: Final answer
    x = 59,625

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.