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Finding the Third Proportional to 9,944 and 21,071

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Solution

The third proportional to 9,944 and 21,071 is: 44,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944 : 21,071 = 21,071 : x
  2. Step 2: Convert to fraction form
    9,944/21,071 = 21,071/x
  3. Step 3: Cross multiply
    9,944x = 21,071 × 21,071
  4. Step 4: Simplify right side
    9,944x = 443,987,041
  5. Step 5: Solve for x
    x = 443,987,041/9,944
  6. Step 6: Final answer
    x = 44,648.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.