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Finding the Third Proportional to 16,822.69 and 24,504.19

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Solution

The third proportional to 16,822.69 and 24,504.19 is: 35,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.69 : 24,504.19 = 24,504.19 : x
  2. Step 2: Convert to fraction form
    16,822.69/24,504.19 = 24,504.19/x
  3. Step 3: Cross multiply
    16,822.69x = 24,504.19 × 24,504.19
  4. Step 4: Simplify right side
    16,822.69x = 600,455,205.04
  5. Step 5: Solve for x
    x = 600,455,205.04/16,822.69
  6. Step 6: Final answer
    x = 35,693.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.