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Finding the Third Proportional to 23,020.50 and 38,863.50

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Solution

The third proportional to 23,020.50 and 38,863.50 is: 65,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.50 : 38,863.50 = 38,863.50 : x
  2. Step 2: Convert to fraction form
    23,020.50/38,863.50 = 38,863.50/x
  3. Step 3: Cross multiply
    23,020.50x = 38,863.50 × 38,863.50
  4. Step 4: Simplify right side
    23,020.50x = 1,510,371,632.25
  5. Step 5: Solve for x
    x = 1,510,371,632.25/23,020.50
  6. Step 6: Final answer
    x = 65,609.85

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.