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Finding the Third Proportional to 24,650 and 52,828

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Solution

The third proportional to 24,650 and 52,828 is: 113,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 52,828 = 52,828 : x
  2. Step 2: Convert to fraction form
    24,650/52,828 = 52,828/x
  3. Step 3: Cross multiply
    24,650x = 52,828 × 52,828
  4. Step 4: Simplify right side
    24,650x = 2,790,797,584
  5. Step 5: Solve for x
    x = 2,790,797,584/24,650
  6. Step 6: Final answer
    x = 113,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.