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Finding the Third Proportional to 3,665.38 and 8,643.88

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Solution

The third proportional to 3,665.38 and 8,643.88 is: 20,384.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.38 : 8,643.88 = 8,643.88 : x
  2. Step 2: Convert to fraction form
    3,665.38/8,643.88 = 8,643.88/x
  3. Step 3: Cross multiply
    3,665.38x = 8,643.88 × 8,643.88
  4. Step 4: Simplify right side
    3,665.38x = 74,716,575.02
  5. Step 5: Solve for x
    x = 74,716,575.02/3,665.38
  6. Step 6: Final answer
    x = 20,384.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.