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Finding the Third Proportional to 960.19 and 1,440.07

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Solution

The third proportional to 960.19 and 1,440.07 is: 2,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,440.07 = 1,440.07 : x
  2. Step 2: Convert to fraction form
    960.19/1,440.07 = 1,440.07/x
  3. Step 3: Cross multiply
    960.19x = 1,440.07 × 1,440.07
  4. Step 4: Simplify right side
    960.19x = 2,073,802.50
  5. Step 5: Solve for x
    x = 2,073,802.50/960.19
  6. Step 6: Final answer
    x = 2,159.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.