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Finding the Third Proportional to 5,138 and 6,492

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Solution

The third proportional to 5,138 and 6,492 is: 8,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138 : 6,492 = 6,492 : x
  2. Step 2: Convert to fraction form
    5,138/6,492 = 6,492/x
  3. Step 3: Cross multiply
    5,138x = 6,492 × 6,492
  4. Step 4: Simplify right side
    5,138x = 42,146,064
  5. Step 5: Solve for x
    x = 42,146,064/5,138
  6. Step 6: Final answer
    x = 8,202.82

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.