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Finding the Third Proportional to 23,802 and 51,584

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Solution

The third proportional to 23,802 and 51,584 is: 111,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802 : 51,584 = 51,584 : x
  2. Step 2: Convert to fraction form
    23,802/51,584 = 51,584/x
  3. Step 3: Cross multiply
    23,802x = 51,584 × 51,584
  4. Step 4: Simplify right side
    23,802x = 2,660,909,056
  5. Step 5: Solve for x
    x = 2,660,909,056/23,802
  6. Step 6: Final answer
    x = 111,793.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.