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Finding the Third Proportional to 28,514 and 68,693

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Solution

The third proportional to 28,514 and 68,693 is: 165,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514 : 68,693 = 68,693 : x
  2. Step 2: Convert to fraction form
    28,514/68,693 = 68,693/x
  3. Step 3: Cross multiply
    28,514x = 68,693 × 68,693
  4. Step 4: Simplify right side
    28,514x = 4,718,728,249
  5. Step 5: Solve for x
    x = 4,718,728,249/28,514
  6. Step 6: Final answer
    x = 165,488.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.