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Finding the Third Proportional to 15,623 and 23,822

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Solution

The third proportional to 15,623 and 23,822 is: 36,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,623 : 23,822 = 23,822 : x
  2. Step 2: Convert to fraction form
    15,623/23,822 = 23,822/x
  3. Step 3: Cross multiply
    15,623x = 23,822 × 23,822
  4. Step 4: Simplify right side
    15,623x = 567,487,684
  5. Step 5: Solve for x
    x = 567,487,684/15,623
  6. Step 6: Final answer
    x = 36,323.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.