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Finding the Third Proportional to 4,298 and 9,721

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Solution

The third proportional to 4,298 and 9,721 is: 21,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 9,721 = 9,721 : x
  2. Step 2: Convert to fraction form
    4,298/9,721 = 9,721/x
  3. Step 3: Cross multiply
    4,298x = 9,721 × 9,721
  4. Step 4: Simplify right side
    4,298x = 94,497,841
  5. Step 5: Solve for x
    x = 94,497,841/4,298
  6. Step 6: Final answer
    x = 21,986.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.