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Finding the Third Proportional to 23,109.75 and 49,909.50

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Solution

The third proportional to 23,109.75 and 49,909.50 is: 107,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.75 : 49,909.50 = 49,909.50 : x
  2. Step 2: Convert to fraction form
    23,109.75/49,909.50 = 49,909.50/x
  3. Step 3: Cross multiply
    23,109.75x = 49,909.50 × 49,909.50
  4. Step 4: Simplify right side
    23,109.75x = 2,490,958,190.25
  5. Step 5: Solve for x
    x = 2,490,958,190.25/23,109.75
  6. Step 6: Final answer
    x = 107,788.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.