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Finding the Third Proportional to 6,588 and 14,561

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Solution

The third proportional to 6,588 and 14,561 is: 32,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588 : 14,561 = 14,561 : x
  2. Step 2: Convert to fraction form
    6,588/14,561 = 14,561/x
  3. Step 3: Cross multiply
    6,588x = 14,561 × 14,561
  4. Step 4: Simplify right side
    6,588x = 212,022,721
  5. Step 5: Solve for x
    x = 212,022,721/6,588
  6. Step 6: Final answer
    x = 32,183.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.