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Finding the Third Proportional to 14,625 and 34,254

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Solution

The third proportional to 14,625 and 34,254 is: 80,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625 : 34,254 = 34,254 : x
  2. Step 2: Convert to fraction form
    14,625/34,254 = 34,254/x
  3. Step 3: Cross multiply
    14,625x = 34,254 × 34,254
  4. Step 4: Simplify right side
    14,625x = 1,173,336,516
  5. Step 5: Solve for x
    x = 1,173,336,516/14,625
  6. Step 6: Final answer
    x = 80,228.14

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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.