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Finding the Third Proportional to 5,389 and 6,271

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Solution

The third proportional to 5,389 and 6,271 is: 7,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389 : 6,271 = 6,271 : x
  2. Step 2: Convert to fraction form
    5,389/6,271 = 6,271/x
  3. Step 3: Cross multiply
    5,389x = 6,271 × 6,271
  4. Step 4: Simplify right side
    5,389x = 39,325,441
  5. Step 5: Solve for x
    x = 39,325,441/5,389
  6. Step 6: Final answer
    x = 7,297.35

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.