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Finding the Third Proportional to 9,858 and 14,649

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Solution

The third proportional to 9,858 and 14,649 is: 21,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858 : 14,649 = 14,649 : x
  2. Step 2: Convert to fraction form
    9,858/14,649 = 14,649/x
  3. Step 3: Cross multiply
    9,858x = 14,649 × 14,649
  4. Step 4: Simplify right side
    9,858x = 214,593,201
  5. Step 5: Solve for x
    x = 214,593,201/9,858
  6. Step 6: Final answer
    x = 21,768.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.