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Finding the Third Proportional to 21,074 and 32,523

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Solution

The third proportional to 21,074 and 32,523 is: 50,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074 : 32,523 = 32,523 : x
  2. Step 2: Convert to fraction form
    21,074/32,523 = 32,523/x
  3. Step 3: Cross multiply
    21,074x = 32,523 × 32,523
  4. Step 4: Simplify right side
    21,074x = 1,057,745,529
  5. Step 5: Solve for x
    x = 1,057,745,529/21,074
  6. Step 6: Final answer
    x = 50,191.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.