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Finding the Third Proportional to 21,969 and 24,016.50

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Solution

The third proportional to 21,969 and 24,016.50 is: 26,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 24,016.50 = 24,016.50 : x
  2. Step 2: Convert to fraction form
    21,969/24,016.50 = 24,016.50/x
  3. Step 3: Cross multiply
    21,969x = 24,016.50 × 24,016.50
  4. Step 4: Simplify right side
    21,969x = 576,792,272.25
  5. Step 5: Solve for x
    x = 576,792,272.25/21,969
  6. Step 6: Final answer
    x = 26,254.83

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.