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Finding the Third Proportional to 8,644.25 and 19,532.63

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Solution

The third proportional to 8,644.25 and 19,532.63 is: 44,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.25 : 19,532.63 = 19,532.63 : x
  2. Step 2: Convert to fraction form
    8,644.25/19,532.63 = 19,532.63/x
  3. Step 3: Cross multiply
    8,644.25x = 19,532.63 × 19,532.63
  4. Step 4: Simplify right side
    8,644.25x = 381,523,439.39
  5. Step 5: Solve for x
    x = 381,523,439.39/8,644.25
  6. Step 6: Final answer
    x = 44,136.10

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.