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Finding the Third Proportional to 1,434.42 and 3,141.84

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Solution

The third proportional to 1,434.42 and 3,141.84 is: 6,881.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.42 : 3,141.84 = 3,141.84 : x
  2. Step 2: Convert to fraction form
    1,434.42/3,141.84 = 3,141.84/x
  3. Step 3: Cross multiply
    1,434.42x = 3,141.84 × 3,141.84
  4. Step 4: Simplify right side
    1,434.42x = 9,871,182.15
  5. Step 5: Solve for x
    x = 9,871,182.15/1,434.42
  6. Step 6: Final answer
    x = 6,881.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.