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Finding the Third Proportional to 6,232 and 14,561

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Solution

The third proportional to 6,232 and 14,561 is: 34,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232 : 14,561 = 14,561 : x
  2. Step 2: Convert to fraction form
    6,232/14,561 = 14,561/x
  3. Step 3: Cross multiply
    6,232x = 14,561 × 14,561
  4. Step 4: Simplify right side
    6,232x = 212,022,721
  5. Step 5: Solve for x
    x = 212,022,721/6,232
  6. Step 6: Final answer
    x = 34,021.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.