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Finding the Third Proportional to 2,967 and 6,492

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Solution

The third proportional to 2,967 and 6,492 is: 14,204.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967 : 6,492 = 6,492 : x
  2. Step 2: Convert to fraction form
    2,967/6,492 = 6,492/x
  3. Step 3: Cross multiply
    2,967x = 6,492 × 6,492
  4. Step 4: Simplify right side
    2,967x = 42,146,064
  5. Step 5: Solve for x
    x = 42,146,064/2,967
  6. Step 6: Final answer
    x = 14,204.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.