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Finding the Third Proportional to 9,664 and 14,240

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Solution

The third proportional to 9,664 and 14,240 is: 20,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 14,240 = 14,240 : x
  2. Step 2: Convert to fraction form
    9,664/14,240 = 14,240/x
  3. Step 3: Cross multiply
    9,664x = 14,240 × 14,240
  4. Step 4: Simplify right side
    9,664x = 202,777,600
  5. Step 5: Solve for x
    x = 202,777,600/9,664
  6. Step 6: Final answer
    x = 20,982.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.