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Finding the Third Proportional to 3,664.88 and 8,001.80

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Solution

The third proportional to 3,664.88 and 8,001.80 is: 17,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.88 : 8,001.80 = 8,001.80 : x
  2. Step 2: Convert to fraction form
    3,664.88/8,001.80 = 8,001.80/x
  3. Step 3: Cross multiply
    3,664.88x = 8,001.80 × 8,001.80
  4. Step 4: Simplify right side
    3,664.88x = 64,028,753.23
  5. Step 5: Solve for x
    x = 64,028,753.23/3,664.88
  6. Step 6: Final answer
    x = 17,470.92

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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.