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Finding the Third Proportional to 38,877.75 and 58,306.50

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Solution

The third proportional to 38,877.75 and 58,306.50 is: 87,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,877.75 : 58,306.50 = 58,306.50 : x
  2. Step 2: Convert to fraction form
    38,877.75/58,306.50 = 58,306.50/x
  3. Step 3: Cross multiply
    38,877.75x = 58,306.50 × 58,306.50
  4. Step 4: Simplify right side
    38,877.75x = 3,399,647,942.25
  5. Step 5: Solve for x
    x = 3,399,647,942.25/38,877.75
  6. Step 6: Final answer
    x = 87,444.57

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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.