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Finding the Third Proportional to 38,758.50 and 59,967

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Solution

The third proportional to 38,758.50 and 59,967 is: 92,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,758.50 : 59,967 = 59,967 : x
  2. Step 2: Convert to fraction form
    38,758.50/59,967 = 59,967/x
  3. Step 3: Cross multiply
    38,758.50x = 59,967 × 59,967
  4. Step 4: Simplify right side
    38,758.50x = 3,596,041,089
  5. Step 5: Solve for x
    x = 3,596,041,089/38,758.50
  6. Step 6: Final answer
    x = 92,780.71

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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.