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Finding the Third Proportional to 3,669.68 and 8,001.91

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Solution

The third proportional to 3,669.68 and 8,001.91 is: 17,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.68 : 8,001.91 = 8,001.91 : x
  2. Step 2: Convert to fraction form
    3,669.68/8,001.91 = 8,001.91/x
  3. Step 3: Cross multiply
    3,669.68x = 8,001.91 × 8,001.91
  4. Step 4: Simplify right side
    3,669.68x = 64,030,628.66
  5. Step 5: Solve for x
    x = 64,030,628.66/3,669.68
  6. Step 6: Final answer
    x = 17,448.56

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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.