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Finding the Third Proportional to 9,637 and 20,821

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Solution

The third proportional to 9,637 and 20,821 is: 44,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637 : 20,821 = 20,821 : x
  2. Step 2: Convert to fraction form
    9,637/20,821 = 20,821/x
  3. Step 3: Cross multiply
    9,637x = 20,821 × 20,821
  4. Step 4: Simplify right side
    9,637x = 433,514,041
  5. Step 5: Solve for x
    x = 433,514,041/9,637
  6. Step 6: Final answer
    x = 44,984.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.