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Finding the Third Proportional to 39,544 and 59,250

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Solution

The third proportional to 39,544 and 59,250 is: 88,776.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,544 : 59,250 = 59,250 : x
  2. Step 2: Convert to fraction form
    39,544/59,250 = 59,250/x
  3. Step 3: Cross multiply
    39,544x = 59,250 × 59,250
  4. Step 4: Simplify right side
    39,544x = 3,510,562,500
  5. Step 5: Solve for x
    x = 3,510,562,500/39,544
  6. Step 6: Final answer
    x = 88,776.11

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