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Finding the Third Proportional to 16,243 and 23,788

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Solution

The third proportional to 16,243 and 23,788 is: 34,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243 : 23,788 = 23,788 : x
  2. Step 2: Convert to fraction form
    16,243/23,788 = 23,788/x
  3. Step 3: Cross multiply
    16,243x = 23,788 × 23,788
  4. Step 4: Simplify right side
    16,243x = 565,868,944
  5. Step 5: Solve for x
    x = 565,868,944/16,243
  6. Step 6: Final answer
    x = 34,837.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.