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Finding the Third Proportional to 9,733 and 14,885

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Solution

The third proportional to 9,733 and 14,885 is: 22,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733 : 14,885 = 14,885 : x
  2. Step 2: Convert to fraction form
    9,733/14,885 = 14,885/x
  3. Step 3: Cross multiply
    9,733x = 14,885 × 14,885
  4. Step 4: Simplify right side
    9,733x = 221,563,225
  5. Step 5: Solve for x
    x = 221,563,225/9,733
  6. Step 6: Final answer
    x = 22,764.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.