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Finding the Third Proportional to 21,970 and 47,392

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Solution

The third proportional to 21,970 and 47,392 is: 102,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970 : 47,392 = 47,392 : x
  2. Step 2: Convert to fraction form
    21,970/47,392 = 47,392/x
  3. Step 3: Cross multiply
    21,970x = 47,392 × 47,392
  4. Step 4: Simplify right side
    21,970x = 2,246,001,664
  5. Step 5: Solve for x
    x = 2,246,001,664/21,970
  6. Step 6: Final answer
    x = 102,230.39

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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.