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Finding the Third Proportional to 10,919.81 and 23,472.28

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Solution

The third proportional to 10,919.81 and 23,472.28 is: 50,453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,919.81 : 23,472.28 = 23,472.28 : x
  2. Step 2: Convert to fraction form
    10,919.81/23,472.28 = 23,472.28/x
  3. Step 3: Cross multiply
    10,919.81x = 23,472.28 × 23,472.28
  4. Step 4: Simplify right side
    10,919.81x = 550,947,987.08
  5. Step 5: Solve for x
    x = 550,947,987.08/10,919.81
  6. Step 6: Final answer
    x = 50,453.98

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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.