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Finding the Third Proportional to 5,436.28 and 6,246.28

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Solution

The third proportional to 5,436.28 and 6,246.28 is: 7,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.28 : 6,246.28 = 6,246.28 : x
  2. Step 2: Convert to fraction form
    5,436.28/6,246.28 = 6,246.28/x
  3. Step 3: Cross multiply
    5,436.28x = 6,246.28 × 6,246.28
  4. Step 4: Simplify right side
    5,436.28x = 39,016,029.45
  5. Step 5: Solve for x
    x = 39,016,029.45/5,436.28
  6. Step 6: Final answer
    x = 7,176.97

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.