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Finding the Third Proportional to 15,984 and 24,462

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Solution

The third proportional to 15,984 and 24,462 is: 37,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984 : 24,462 = 24,462 : x
  2. Step 2: Convert to fraction form
    15,984/24,462 = 24,462/x
  3. Step 3: Cross multiply
    15,984x = 24,462 × 24,462
  4. Step 4: Simplify right side
    15,984x = 598,389,444
  5. Step 5: Solve for x
    x = 598,389,444/15,984
  6. Step 6: Final answer
    x = 37,436.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.