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Finding the Third Proportional to 11,473 and 16,156

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Solution

The third proportional to 11,473 and 16,156 is: 22,750.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473 : 16,156 = 16,156 : x
  2. Step 2: Convert to fraction form
    11,473/16,156 = 16,156/x
  3. Step 3: Cross multiply
    11,473x = 16,156 × 16,156
  4. Step 4: Simplify right side
    11,473x = 261,016,336
  5. Step 5: Solve for x
    x = 261,016,336/11,473
  6. Step 6: Final answer
    x = 22,750.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.