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Finding the Third Proportional to 11,346.75 and 24,948.84

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Solution

The third proportional to 11,346.75 and 24,948.84 is: 54,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.75 : 24,948.84 = 24,948.84 : x
  2. Step 2: Convert to fraction form
    11,346.75/24,948.84 = 24,948.84/x
  3. Step 3: Cross multiply
    11,346.75x = 24,948.84 × 24,948.84
  4. Step 4: Simplify right side
    11,346.75x = 622,444,804.46
  5. Step 5: Solve for x
    x = 622,444,804.46/11,346.75
  6. Step 6: Final answer
    x = 54,856.66

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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.