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Finding the Third Proportional to 9,842 and 16,523

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Solution

The third proportional to 9,842 and 16,523 is: 27,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842 : 16,523 = 16,523 : x
  2. Step 2: Convert to fraction form
    9,842/16,523 = 16,523/x
  3. Step 3: Cross multiply
    9,842x = 16,523 × 16,523
  4. Step 4: Simplify right side
    9,842x = 273,009,529
  5. Step 5: Solve for x
    x = 273,009,529/9,842
  6. Step 6: Final answer
    x = 27,739.23

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.