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Finding the Third Proportional to 38,408 and 59,250

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Solution

The third proportional to 38,408 and 59,250 is: 91,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408 : 59,250 = 59,250 : x
  2. Step 2: Convert to fraction form
    38,408/59,250 = 59,250/x
  3. Step 3: Cross multiply
    38,408x = 59,250 × 59,250
  4. Step 4: Simplify right side
    38,408x = 3,510,562,500
  5. Step 5: Solve for x
    x = 3,510,562,500/38,408
  6. Step 6: Final answer
    x = 91,401.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.