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Finding the Third Proportional to 3,664.65 and 8,001.28

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Solution

The third proportional to 3,664.65 and 8,001.28 is: 17,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.65 : 8,001.28 = 8,001.28 : x
  2. Step 2: Convert to fraction form
    3,664.65/8,001.28 = 8,001.28/x
  3. Step 3: Cross multiply
    3,664.65x = 8,001.28 × 8,001.28
  4. Step 4: Simplify right side
    3,664.65x = 64,020,501.64
  5. Step 5: Solve for x
    x = 64,020,501.64/3,664.65
  6. Step 6: Final answer
    x = 17,469.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.