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Finding the Third Proportional to 11,242.50 and 16,016.50

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Solution

The third proportional to 11,242.50 and 16,016.50 is: 22,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.50 : 16,016.50 = 16,016.50 : x
  2. Step 2: Convert to fraction form
    11,242.50/16,016.50 = 16,016.50/x
  3. Step 3: Cross multiply
    11,242.50x = 16,016.50 × 16,016.50
  4. Step 4: Simplify right side
    11,242.50x = 256,528,272.25
  5. Step 5: Solve for x
    x = 256,528,272.25/11,242.50
  6. Step 6: Final answer
    x = 22,817.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.