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Finding the Third Proportional to 26,169.75 and 41,779.13

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Solution

The third proportional to 26,169.75 and 41,779.13 is: 66,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,169.75 : 41,779.13 = 41,779.13 : x
  2. Step 2: Convert to fraction form
    26,169.75/41,779.13 = 41,779.13/x
  3. Step 3: Cross multiply
    26,169.75x = 41,779.13 × 41,779.13
  4. Step 4: Simplify right side
    26,169.75x = 1,745,495,285.77
  5. Step 5: Solve for x
    x = 1,745,495,285.77/26,169.75
  6. Step 6: Final answer
    x = 66,698.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.