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Finding the Third Proportional to 958.36 and 1,359.07

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Solution

The third proportional to 958.36 and 1,359.07 is: 1,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.36 : 1,359.07 = 1,359.07 : x
  2. Step 2: Convert to fraction form
    958.36/1,359.07 = 1,359.07/x
  3. Step 3: Cross multiply
    958.36x = 1,359.07 × 1,359.07
  4. Step 4: Simplify right side
    958.36x = 1,847,072.11
  5. Step 5: Solve for x
    x = 1,847,072.11/958.36
  6. Step 6: Final answer
    x = 1,927.33

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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.