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Finding the Third Proportional to 9,964 and 20,961

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Solution

The third proportional to 9,964 and 20,961 is: 44,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 20,961 = 20,961 : x
  2. Step 2: Convert to fraction form
    9,964/20,961 = 20,961/x
  3. Step 3: Cross multiply
    9,964x = 20,961 × 20,961
  4. Step 4: Simplify right side
    9,964x = 439,363,521
  5. Step 5: Solve for x
    x = 439,363,521/9,964
  6. Step 6: Final answer
    x = 44,095.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.