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Finding the Third Proportional to 8,908 and 19,274

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Solution

The third proportional to 8,908 and 19,274 is: 41,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,908 : 19,274 = 19,274 : x
  2. Step 2: Convert to fraction form
    8,908/19,274 = 19,274/x
  3. Step 3: Cross multiply
    8,908x = 19,274 × 19,274
  4. Step 4: Simplify right side
    8,908x = 371,487,076
  5. Step 5: Solve for x
    x = 371,487,076/8,908
  6. Step 6: Final answer
    x = 41,702.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.