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Finding the Third Proportional to 38,659.50 and 59,860

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Solution

The third proportional to 38,659.50 and 59,860 is: 92,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,659.50 : 59,860 = 59,860 : x
  2. Step 2: Convert to fraction form
    38,659.50/59,860 = 59,860/x
  3. Step 3: Cross multiply
    38,659.50x = 59,860 × 59,860
  4. Step 4: Simplify right side
    38,659.50x = 3,583,219,600
  5. Step 5: Solve for x
    x = 3,583,219,600/38,659.50
  6. Step 6: Final answer
    x = 92,686.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.