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Finding the Third Proportional to 17,176 and 24,514

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Solution

The third proportional to 17,176 and 24,514 is: 34,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,176 : 24,514 = 24,514 : x
  2. Step 2: Convert to fraction form
    17,176/24,514 = 24,514/x
  3. Step 3: Cross multiply
    17,176x = 24,514 × 24,514
  4. Step 4: Simplify right side
    17,176x = 600,936,196
  5. Step 5: Solve for x
    x = 600,936,196/17,176
  6. Step 6: Final answer
    x = 34,986.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.