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Finding the Third Proportional to 18,120 and 24,944

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Solution

The third proportional to 18,120 and 24,944 is: 34,337.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,120 : 24,944 = 24,944 : x
  2. Step 2: Convert to fraction form
    18,120/24,944 = 24,944/x
  3. Step 3: Cross multiply
    18,120x = 24,944 × 24,944
  4. Step 4: Simplify right side
    18,120x = 622,203,136
  5. Step 5: Solve for x
    x = 622,203,136/18,120
  6. Step 6: Final answer
    x = 34,337.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.