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Finding the Third Proportional to 21,467 and 31,377

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Solution

The third proportional to 21,467 and 31,377 is: 45,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467 : 31,377 = 31,377 : x
  2. Step 2: Convert to fraction form
    21,467/31,377 = 31,377/x
  3. Step 3: Cross multiply
    21,467x = 31,377 × 31,377
  4. Step 4: Simplify right side
    21,467x = 984,516,129
  5. Step 5: Solve for x
    x = 984,516,129/21,467
  6. Step 6: Final answer
    x = 45,861.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.