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Finding the Third Proportional to 15,822 and 24,693

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Solution

The third proportional to 15,822 and 24,693 is: 38,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 24,693 = 24,693 : x
  2. Step 2: Convert to fraction form
    15,822/24,693 = 24,693/x
  3. Step 3: Cross multiply
    15,822x = 24,693 × 24,693
  4. Step 4: Simplify right side
    15,822x = 609,744,249
  5. Step 5: Solve for x
    x = 609,744,249/15,822
  6. Step 6: Final answer
    x = 38,537.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.