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Finding the Third Proportional to 23,023.13 and 33,779.25

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Solution

The third proportional to 23,023.13 and 33,779.25 is: 49,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023.13 : 33,779.25 = 33,779.25 : x
  2. Step 2: Convert to fraction form
    23,023.13/33,779.25 = 33,779.25/x
  3. Step 3: Cross multiply
    23,023.13x = 33,779.25 × 33,779.25
  4. Step 4: Simplify right side
    23,023.13x = 1,141,037,730.56
  5. Step 5: Solve for x
    x = 1,141,037,730.56/23,023.13
  6. Step 6: Final answer
    x = 49,560.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.