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Finding the Third Proportional to 960.19 and 1,322.37

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Solution

The third proportional to 960.19 and 1,322.37 is: 1,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.19 : 1,322.37 = 1,322.37 : x
  2. Step 2: Convert to fraction form
    960.19/1,322.37 = 1,322.37/x
  3. Step 3: Cross multiply
    960.19x = 1,322.37 × 1,322.37
  4. Step 4: Simplify right side
    960.19x = 1,748,654.98
  5. Step 5: Solve for x
    x = 1,748,654.98/960.19
  6. Step 6: Final answer
    x = 1,821.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.