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Finding the Third Proportional to 960.19 and 1,359.84

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Solution

The third proportional to 960.19 and 1,359.84 is: 1,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,359.84 = 1,359.84 : x
  2. Step 2: Convert to fraction form
    960.19/1,359.84 = 1,359.84/x
  3. Step 3: Cross multiply
    960.19x = 1,359.84 × 1,359.84
  4. Step 4: Simplify right side
    960.19x = 1,849,175.02
  5. Step 5: Solve for x
    x = 1,849,175.02/960.19
  6. Step 6: Final answer
    x = 1,925.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.