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Finding the Third Proportional to 1,644.47 and 3,753.84

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Solution

The third proportional to 1,644.47 and 3,753.84 is: 8,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.47 : 3,753.84 = 3,753.84 : x
  2. Step 2: Convert to fraction form
    1,644.47/3,753.84 = 3,753.84/x
  3. Step 3: Cross multiply
    1,644.47x = 3,753.84 × 3,753.84
  4. Step 4: Simplify right side
    1,644.47x = 14,091,342.90
  5. Step 5: Solve for x
    x = 14,091,342.90/1,644.47
  6. Step 6: Final answer
    x = 8,568.93

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.