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Finding the Third Proportional to 23,109.19 and 49,779.56

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Solution

The third proportional to 23,109.19 and 49,779.56 is: 107,230.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.19 : 49,779.56 = 49,779.56 : x
  2. Step 2: Convert to fraction form
    23,109.19/49,779.56 = 49,779.56/x
  3. Step 3: Cross multiply
    23,109.19x = 49,779.56 × 49,779.56
  4. Step 4: Simplify right side
    23,109.19x = 2,478,004,842.69
  5. Step 5: Solve for x
    x = 2,478,004,842.69/23,109.19
  6. Step 6: Final answer
    x = 107,230.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.