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Finding the Third Proportional to 11,219.50 and 24,615

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Solution

The third proportional to 11,219.50 and 24,615 is: 54,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.50 : 24,615 = 24,615 : x
  2. Step 2: Convert to fraction form
    11,219.50/24,615 = 24,615/x
  3. Step 3: Cross multiply
    11,219.50x = 24,615 × 24,615
  4. Step 4: Simplify right side
    11,219.50x = 605,898,225
  5. Step 5: Solve for x
    x = 605,898,225/11,219.50
  6. Step 6: Final answer
    x = 54,004.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.