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Finding the Third Proportional to 6,612 and 14,411

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Solution

The third proportional to 6,612 and 14,411 is: 31,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612 : 14,411 = 14,411 : x
  2. Step 2: Convert to fraction form
    6,612/14,411 = 14,411/x
  3. Step 3: Cross multiply
    6,612x = 14,411 × 14,411
  4. Step 4: Simplify right side
    6,612x = 207,676,921
  5. Step 5: Solve for x
    x = 207,676,921/6,612
  6. Step 6: Final answer
    x = 31,409.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.