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Finding the Third Proportional to 1,131.19 and 1,431.84

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Solution

The third proportional to 1,131.19 and 1,431.84 is: 1,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.19 : 1,431.84 = 1,431.84 : x
  2. Step 2: Convert to fraction form
    1,131.19/1,431.84 = 1,431.84/x
  3. Step 3: Cross multiply
    1,131.19x = 1,431.84 × 1,431.84
  4. Step 4: Simplify right side
    1,131.19x = 2,050,176.52
  5. Step 5: Solve for x
    x = 2,050,176.52/1,131.19
  6. Step 6: Final answer
    x = 1,812.41

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.