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Finding the Third Proportional to 5,648 and 6,504

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Solution

The third proportional to 5,648 and 6,504 is: 7,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 6,504 = 6,504 : x
  2. Step 2: Convert to fraction form
    5,648/6,504 = 6,504/x
  3. Step 3: Cross multiply
    5,648x = 6,504 × 6,504
  4. Step 4: Simplify right side
    5,648x = 42,302,016
  5. Step 5: Solve for x
    x = 42,302,016/5,648
  6. Step 6: Final answer
    x = 7,489.73

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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.