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Finding the Third Proportional to 16,078 and 24,892

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Solution

The third proportional to 16,078 and 24,892 is: 38,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078 : 24,892 = 24,892 : x
  2. Step 2: Convert to fraction form
    16,078/24,892 = 24,892/x
  3. Step 3: Cross multiply
    16,078x = 24,892 × 24,892
  4. Step 4: Simplify right side
    16,078x = 619,611,664
  5. Step 5: Solve for x
    x = 619,611,664/16,078
  6. Step 6: Final answer
    x = 38,537.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.