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Finding the Third Proportional to 16,801 and 24,715.50

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Solution

The third proportional to 16,801 and 24,715.50 is: 36,358.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801 : 24,715.50 = 24,715.50 : x
  2. Step 2: Convert to fraction form
    16,801/24,715.50 = 24,715.50/x
  3. Step 3: Cross multiply
    16,801x = 24,715.50 × 24,715.50
  4. Step 4: Simplify right side
    16,801x = 610,855,940.25
  5. Step 5: Solve for x
    x = 610,855,940.25/16,801
  6. Step 6: Final answer
    x = 36,358.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.