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Finding the Third Proportional to 23,414 and 36,214

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Solution

The third proportional to 23,414 and 36,214 is: 56,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414 : 36,214 = 36,214 : x
  2. Step 2: Convert to fraction form
    23,414/36,214 = 36,214/x
  3. Step 3: Cross multiply
    23,414x = 36,214 × 36,214
  4. Step 4: Simplify right side
    23,414x = 1,311,453,796
  5. Step 5: Solve for x
    x = 1,311,453,796/23,414
  6. Step 6: Final answer
    x = 56,011.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.