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Finding the Third Proportional to 3,779.16 and 5,672.53

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Solution

The third proportional to 3,779.16 and 5,672.53 is: 8,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.16 : 5,672.53 = 5,672.53 : x
  2. Step 2: Convert to fraction form
    3,779.16/5,672.53 = 5,672.53/x
  3. Step 3: Cross multiply
    3,779.16x = 5,672.53 × 5,672.53
  4. Step 4: Simplify right side
    3,779.16x = 32,177,610.78
  5. Step 5: Solve for x
    x = 32,177,610.78/3,779.16
  6. Step 6: Final answer
    x = 8,514.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.