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Finding the Third Proportional to 22,672 and 47,404

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Solution

The third proportional to 22,672 and 47,404 is: 99,115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672 : 47,404 = 47,404 : x
  2. Step 2: Convert to fraction form
    22,672/47,404 = 47,404/x
  3. Step 3: Cross multiply
    22,672x = 47,404 × 47,404
  4. Step 4: Simplify right side
    22,672x = 2,247,139,216
  5. Step 5: Solve for x
    x = 2,247,139,216/22,672
  6. Step 6: Final answer
    x = 99,115.17

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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.