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Finding the Third Proportional to 1,166.12 and 1,779.79

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Solution

The third proportional to 1,166.12 and 1,779.79 is: 2,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.12 : 1,779.79 = 1,779.79 : x
  2. Step 2: Convert to fraction form
    1,166.12/1,779.79 = 1,779.79/x
  3. Step 3: Cross multiply
    1,166.12x = 1,779.79 × 1,779.79
  4. Step 4: Simplify right side
    1,166.12x = 3,167,635.20
  5. Step 5: Solve for x
    x = 3,167,635.20/1,166.12
  6. Step 6: Final answer
    x = 2,716.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.