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Finding the Third Proportional to 21,304 and 32,254

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Solution

The third proportional to 21,304 and 32,254 is: 48,832.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,304 : 32,254 = 32,254 : x
  2. Step 2: Convert to fraction form
    21,304/32,254 = 32,254/x
  3. Step 3: Cross multiply
    21,304x = 32,254 × 32,254
  4. Step 4: Simplify right side
    21,304x = 1,040,320,516
  5. Step 5: Solve for x
    x = 1,040,320,516/21,304
  6. Step 6: Final answer
    x = 48,832.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.