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Finding the Third Proportional to 23,857.50 and 39,280.50

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Solution

The third proportional to 23,857.50 and 39,280.50 is: 64,673.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.50 : 39,280.50 = 39,280.50 : x
  2. Step 2: Convert to fraction form
    23,857.50/39,280.50 = 39,280.50/x
  3. Step 3: Cross multiply
    23,857.50x = 39,280.50 × 39,280.50
  4. Step 4: Simplify right side
    23,857.50x = 1,542,957,680.25
  5. Step 5: Solve for x
    x = 1,542,957,680.25/23,857.50
  6. Step 6: Final answer
    x = 64,673.90

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.