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Finding the Third Proportional to 23,652 and 39,418.50

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Solution

The third proportional to 23,652 and 39,418.50 is: 65,695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652 : 39,418.50 = 39,418.50 : x
  2. Step 2: Convert to fraction form
    23,652/39,418.50 = 39,418.50/x
  3. Step 3: Cross multiply
    23,652x = 39,418.50 × 39,418.50
  4. Step 4: Simplify right side
    23,652x = 1,553,818,142.25
  5. Step 5: Solve for x
    x = 1,553,818,142.25/23,652
  6. Step 6: Final answer
    x = 65,695.00

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.