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Finding the Third Proportional to 9,848 and 13,164

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Solution

The third proportional to 9,848 and 13,164 is: 17,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848 : 13,164 = 13,164 : x
  2. Step 2: Convert to fraction form
    9,848/13,164 = 13,164/x
  3. Step 3: Cross multiply
    9,848x = 13,164 × 13,164
  4. Step 4: Simplify right side
    9,848x = 173,290,896
  5. Step 5: Solve for x
    x = 173,290,896/9,848
  6. Step 6: Final answer
    x = 17,596.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.