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Finding the Third Proportional to 14,570 and 34,251

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Solution

The third proportional to 14,570 and 34,251 is: 80,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570 : 34,251 = 34,251 : x
  2. Step 2: Convert to fraction form
    14,570/34,251 = 34,251/x
  3. Step 3: Cross multiply
    14,570x = 34,251 × 34,251
  4. Step 4: Simplify right side
    14,570x = 1,173,131,001
  5. Step 5: Solve for x
    x = 1,173,131,001/14,570
  6. Step 6: Final answer
    x = 80,516.88

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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.