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Finding the Third Proportional to 9,324 and 13,721

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Solution

The third proportional to 9,324 and 13,721 is: 20,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 13,721 = 13,721 : x
  2. Step 2: Convert to fraction form
    9,324/13,721 = 13,721/x
  3. Step 3: Cross multiply
    9,324x = 13,721 × 13,721
  4. Step 4: Simplify right side
    9,324x = 188,265,841
  5. Step 5: Solve for x
    x = 188,265,841/9,324
  6. Step 6: Final answer
    x = 20,191.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.