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Finding the Third Proportional to 5,434 and 6,202

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Solution

The third proportional to 5,434 and 6,202 is: 7,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 6,202 = 6,202 : x
  2. Step 2: Convert to fraction form
    5,434/6,202 = 6,202/x
  3. Step 3: Cross multiply
    5,434x = 6,202 × 6,202
  4. Step 4: Simplify right side
    5,434x = 38,464,804
  5. Step 5: Solve for x
    x = 38,464,804/5,434
  6. Step 6: Final answer
    x = 7,078.54

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.