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Finding the Third Proportional to 9,523 and 21,254

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Solution

The third proportional to 9,523 and 21,254 is: 47,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523 : 21,254 = 21,254 : x
  2. Step 2: Convert to fraction form
    9,523/21,254 = 21,254/x
  3. Step 3: Cross multiply
    9,523x = 21,254 × 21,254
  4. Step 4: Simplify right side
    9,523x = 451,732,516
  5. Step 5: Solve for x
    x = 451,732,516/9,523
  6. Step 6: Final answer
    x = 47,435.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.