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Finding the Third Proportional to 960.19 and 2,240.16

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Solution

The third proportional to 960.19 and 2,240.16 is: 5,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 2,240.16 = 2,240.16 : x
  2. Step 2: Convert to fraction form
    960.19/2,240.16 = 2,240.16/x
  3. Step 3: Cross multiply
    960.19x = 2,240.16 × 2,240.16
  4. Step 4: Simplify right side
    960.19x = 5,018,300.02
  5. Step 5: Solve for x
    x = 5,018,300.02/960.19
  6. Step 6: Final answer
    x = 5,226.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.