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Finding the Third Proportional to 21,016.50 and 32,542.50

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Solution

The third proportional to 21,016.50 and 32,542.50 is: 50,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016.50 : 32,542.50 = 32,542.50 : x
  2. Step 2: Convert to fraction form
    21,016.50/32,542.50 = 32,542.50/x
  3. Step 3: Cross multiply
    21,016.50x = 32,542.50 × 32,542.50
  4. Step 4: Simplify right side
    21,016.50x = 1,059,014,306.25
  5. Step 5: Solve for x
    x = 1,059,014,306.25/21,016.50
  6. Step 6: Final answer
    x = 50,389.66

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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.