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Finding the Third Proportional to 16,182 and 24,992

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Solution

The third proportional to 16,182 and 24,992 is: 38,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182 : 24,992 = 24,992 : x
  2. Step 2: Convert to fraction form
    16,182/24,992 = 24,992/x
  3. Step 3: Cross multiply
    16,182x = 24,992 × 24,992
  4. Step 4: Simplify right side
    16,182x = 624,600,064
  5. Step 5: Solve for x
    x = 624,600,064/16,182
  6. Step 6: Final answer
    x = 38,598.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.