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Finding the Third Proportional to 22,605 and 47,274

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Solution

The third proportional to 22,605 and 47,274 is: 98,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605 : 47,274 = 47,274 : x
  2. Step 2: Convert to fraction form
    22,605/47,274 = 47,274/x
  3. Step 3: Cross multiply
    22,605x = 47,274 × 47,274
  4. Step 4: Simplify right side
    22,605x = 2,234,831,076
  5. Step 5: Solve for x
    x = 2,234,831,076/22,605
  6. Step 6: Final answer
    x = 98,864.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.