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Finding the Third Proportional to 9,994 and 22,001

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Solution

The third proportional to 9,994 and 22,001 is: 48,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994 : 22,001 = 22,001 : x
  2. Step 2: Convert to fraction form
    9,994/22,001 = 22,001/x
  3. Step 3: Cross multiply
    9,994x = 22,001 × 22,001
  4. Step 4: Simplify right side
    9,994x = 484,044,001
  5. Step 5: Solve for x
    x = 484,044,001/9,994
  6. Step 6: Final answer
    x = 48,433.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.