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Finding the Third Proportional to 5,867.44 and 12,222.14

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Solution

The third proportional to 5,867.44 and 12,222.14 is: 25,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.44 : 12,222.14 = 12,222.14 : x
  2. Step 2: Convert to fraction form
    5,867.44/12,222.14 = 12,222.14/x
  3. Step 3: Cross multiply
    5,867.44x = 12,222.14 × 12,222.14
  4. Step 4: Simplify right side
    5,867.44x = 149,380,721.46
  5. Step 5: Solve for x
    x = 149,380,721.46/5,867.44
  6. Step 6: Final answer
    x = 25,459.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.