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Finding the Third Proportional to 1,398.94 and 2,132.16

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Solution

The third proportional to 1,398.94 and 2,132.16 is: 3,249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.94 : 2,132.16 = 2,132.16 : x
  2. Step 2: Convert to fraction form
    1,398.94/2,132.16 = 2,132.16/x
  3. Step 3: Cross multiply
    1,398.94x = 2,132.16 × 2,132.16
  4. Step 4: Simplify right side
    1,398.94x = 4,546,090.27
  5. Step 5: Solve for x
    x = 4,546,090.27/1,398.94
  6. Step 6: Final answer
    x = 3,249.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.