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Finding the Third Proportional to 14,561 and 34,229

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Solution

The third proportional to 14,561 and 34,229 is: 80,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561 : 34,229 = 34,229 : x
  2. Step 2: Convert to fraction form
    14,561/34,229 = 34,229/x
  3. Step 3: Cross multiply
    14,561x = 34,229 × 34,229
  4. Step 4: Simplify right side
    14,561x = 1,171,624,441
  5. Step 5: Solve for x
    x = 1,171,624,441/14,561
  6. Step 6: Final answer
    x = 80,463.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.