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Finding the Third Proportional to 14,172 and 29,366

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Solution

The third proportional to 14,172 and 29,366 is: 60,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172 : 29,366 = 29,366 : x
  2. Step 2: Convert to fraction form
    14,172/29,366 = 29,366/x
  3. Step 3: Cross multiply
    14,172x = 29,366 × 29,366
  4. Step 4: Simplify right side
    14,172x = 862,361,956
  5. Step 5: Solve for x
    x = 862,361,956/14,172
  6. Step 6: Final answer
    x = 60,849.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.