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Finding the Third Proportional to 4,814 and 10,721

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Solution

The third proportional to 4,814 and 10,721 is: 23,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 10,721 = 10,721 : x
  2. Step 2: Convert to fraction form
    4,814/10,721 = 10,721/x
  3. Step 3: Cross multiply
    4,814x = 10,721 × 10,721
  4. Step 4: Simplify right side
    4,814x = 114,939,841
  5. Step 5: Solve for x
    x = 114,939,841/4,814
  6. Step 6: Final answer
    x = 23,876.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.