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Finding the Third Proportional to 14,663 and 34,220

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Solution

The third proportional to 14,663 and 34,220 is: 79,861.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,663 : 34,220 = 34,220 : x
  2. Step 2: Convert to fraction form
    14,663/34,220 = 34,220/x
  3. Step 3: Cross multiply
    14,663x = 34,220 × 34,220
  4. Step 4: Simplify right side
    14,663x = 1,171,008,400
  5. Step 5: Solve for x
    x = 1,171,008,400/14,663
  6. Step 6: Final answer
    x = 79,861.45

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.