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Finding the Third Proportional to 14,602 and 34,197

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Solution

The third proportional to 14,602 and 34,197 is: 80,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602 : 34,197 = 34,197 : x
  2. Step 2: Convert to fraction form
    14,602/34,197 = 34,197/x
  3. Step 3: Cross multiply
    14,602x = 34,197 × 34,197
  4. Step 4: Simplify right side
    14,602x = 1,169,434,809
  5. Step 5: Solve for x
    x = 1,169,434,809/14,602
  6. Step 6: Final answer
    x = 80,087.30

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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.