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Finding the Third Proportional to 15,822 and 23,769

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Solution

The third proportional to 15,822 and 23,769 is: 35,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 23,769 = 23,769 : x
  2. Step 2: Convert to fraction form
    15,822/23,769 = 23,769/x
  3. Step 3: Cross multiply
    15,822x = 23,769 × 23,769
  4. Step 4: Simplify right side
    15,822x = 564,965,361
  5. Step 5: Solve for x
    x = 564,965,361/15,822
  6. Step 6: Final answer
    x = 35,707.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.