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Finding the Third Proportional to 10,949 and 24,084.75

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Solution

The third proportional to 10,949 and 24,084.75 is: 52,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,949 : 24,084.75 = 24,084.75 : x
  2. Step 2: Convert to fraction form
    10,949/24,084.75 = 24,084.75/x
  3. Step 3: Cross multiply
    10,949x = 24,084.75 × 24,084.75
  4. Step 4: Simplify right side
    10,949x = 580,075,182.56
  5. Step 5: Solve for x
    x = 580,075,182.56/10,949
  6. Step 6: Final answer
    x = 52,979.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.