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Finding the Third Proportional to 3,666.38 and 5,675.63

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Solution

The third proportional to 3,666.38 and 5,675.63 is: 8,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.38 : 5,675.63 = 5,675.63 : x
  2. Step 2: Convert to fraction form
    3,666.38/5,675.63 = 5,675.63/x
  3. Step 3: Cross multiply
    3,666.38x = 5,675.63 × 5,675.63
  4. Step 4: Simplify right side
    3,666.38x = 32,212,719.14
  5. Step 5: Solve for x
    x = 32,212,719.14/3,666.38
  6. Step 6: Final answer
    x = 8,785.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.