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Finding the Third Proportional to 21,712 and 47,231

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Solution

The third proportional to 21,712 and 47,231 is: 102,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712 : 47,231 = 47,231 : x
  2. Step 2: Convert to fraction form
    21,712/47,231 = 47,231/x
  3. Step 3: Cross multiply
    21,712x = 47,231 × 47,231
  4. Step 4: Simplify right side
    21,712x = 2,230,767,361
  5. Step 5: Solve for x
    x = 2,230,767,361/21,712
  6. Step 6: Final answer
    x = 102,743.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.