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Finding the Third Proportional to 1,666.13 and 4,023.56

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Solution

The third proportional to 1,666.13 and 4,023.56 is: 9,716.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.13 : 4,023.56 = 4,023.56 : x
  2. Step 2: Convert to fraction form
    1,666.13/4,023.56 = 4,023.56/x
  3. Step 3: Cross multiply
    1,666.13x = 4,023.56 × 4,023.56
  4. Step 4: Simplify right side
    1,666.13x = 16,189,055.19
  5. Step 5: Solve for x
    x = 16,189,055.19/1,666.13
  6. Step 6: Final answer
    x = 9,716.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.