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Finding the Third Proportional to 23,822 and 51,411

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Solution

The third proportional to 23,822 and 51,411 is: 110,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822 : 51,411 = 51,411 : x
  2. Step 2: Convert to fraction form
    23,822/51,411 = 51,411/x
  3. Step 3: Cross multiply
    23,822x = 51,411 × 51,411
  4. Step 4: Simplify right side
    23,822x = 2,643,090,921
  5. Step 5: Solve for x
    x = 2,643,090,921/23,822
  6. Step 6: Final answer
    x = 110,951.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.