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Finding the Third Proportional to 16,822.69 and 24,915.09

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Solution

The third proportional to 16,822.69 and 24,915.09 is: 36,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.69 : 24,915.09 = 24,915.09 : x
  2. Step 2: Convert to fraction form
    16,822.69/24,915.09 = 24,915.09/x
  3. Step 3: Cross multiply
    16,822.69x = 24,915.09 × 24,915.09
  4. Step 4: Simplify right side
    16,822.69x = 620,761,896.57
  5. Step 5: Solve for x
    x = 620,761,896.57/16,822.69
  6. Step 6: Final answer
    x = 36,900.28

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.