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Finding the Third Proportional to 24,342 and 51,828

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Solution

The third proportional to 24,342 and 51,828 is: 110,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342 : 51,828 = 51,828 : x
  2. Step 2: Convert to fraction form
    24,342/51,828 = 51,828/x
  3. Step 3: Cross multiply
    24,342x = 51,828 × 51,828
  4. Step 4: Simplify right side
    24,342x = 2,686,141,584
  5. Step 5: Solve for x
    x = 2,686,141,584/24,342
  6. Step 6: Final answer
    x = 110,350.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.