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Finding the Third Proportional to 9,997.50 and 22,079

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Solution

The third proportional to 9,997.50 and 22,079 is: 48,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.50 : 22,079 = 22,079 : x
  2. Step 2: Convert to fraction form
    9,997.50/22,079 = 22,079/x
  3. Step 3: Cross multiply
    9,997.50x = 22,079 × 22,079
  4. Step 4: Simplify right side
    9,997.50x = 487,482,241
  5. Step 5: Solve for x
    x = 487,482,241/9,997.50
  6. Step 6: Final answer
    x = 48,760.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.