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Finding the Third Proportional to 11,389 and 24,721

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Solution

The third proportional to 11,389 and 24,721 is: 53,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389 : 24,721 = 24,721 : x
  2. Step 2: Convert to fraction form
    11,389/24,721 = 24,721/x
  3. Step 3: Cross multiply
    11,389x = 24,721 × 24,721
  4. Step 4: Simplify right side
    11,389x = 611,127,841
  5. Step 5: Solve for x
    x = 611,127,841/11,389
  6. Step 6: Final answer
    x = 53,659.48

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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.