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Finding the Third Proportional to 4,781 and 10,514

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Solution

The third proportional to 4,781 and 10,514 is: 23,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781 : 10,514 = 10,514 : x
  2. Step 2: Convert to fraction form
    4,781/10,514 = 10,514/x
  3. Step 3: Cross multiply
    4,781x = 10,514 × 10,514
  4. Step 4: Simplify right side
    4,781x = 110,544,196
  5. Step 5: Solve for x
    x = 110,544,196/4,781
  6. Step 6: Final answer
    x = 23,121.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.