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Finding the Third Proportional to 16,156 and 24,827

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Solution

The third proportional to 16,156 and 24,827 is: 38,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156 : 24,827 = 24,827 : x
  2. Step 2: Convert to fraction form
    16,156/24,827 = 24,827/x
  3. Step 3: Cross multiply
    16,156x = 24,827 × 24,827
  4. Step 4: Simplify right side
    16,156x = 616,379,929
  5. Step 5: Solve for x
    x = 616,379,929/16,156
  6. Step 6: Final answer
    x = 38,151.77

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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.