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Finding the Third Proportional to 24,834 and 52,220

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Solution

The third proportional to 24,834 and 52,220 is: 109,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 52,220 = 52,220 : x
  2. Step 2: Convert to fraction form
    24,834/52,220 = 52,220/x
  3. Step 3: Cross multiply
    24,834x = 52,220 × 52,220
  4. Step 4: Simplify right side
    24,834x = 2,726,928,400
  5. Step 5: Solve for x
    x = 2,726,928,400/24,834
  6. Step 6: Final answer
    x = 109,806.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.