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Finding the Third Proportional to 4,034 and 5,429

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Solution

The third proportional to 4,034 and 5,429 is: 7,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034 : 5,429 = 5,429 : x
  2. Step 2: Convert to fraction form
    4,034/5,429 = 5,429/x
  3. Step 3: Cross multiply
    4,034x = 5,429 × 5,429
  4. Step 4: Simplify right side
    4,034x = 29,474,041
  5. Step 5: Solve for x
    x = 29,474,041/4,034
  6. Step 6: Final answer
    x = 7,306.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.