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Finding the Third Proportional to 4,837 and 10,514

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Solution

The third proportional to 4,837 and 10,514 is: 22,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837 : 10,514 = 10,514 : x
  2. Step 2: Convert to fraction form
    4,837/10,514 = 10,514/x
  3. Step 3: Cross multiply
    4,837x = 10,514 × 10,514
  4. Step 4: Simplify right side
    4,837x = 110,544,196
  5. Step 5: Solve for x
    x = 110,544,196/4,837
  6. Step 6: Final answer
    x = 22,853.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.