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Finding the Third Proportional to 9,644 and 14,182

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Solution

The third proportional to 9,644 and 14,182 is: 20,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644 : 14,182 = 14,182 : x
  2. Step 2: Convert to fraction form
    9,644/14,182 = 14,182/x
  3. Step 3: Cross multiply
    9,644x = 14,182 × 14,182
  4. Step 4: Simplify right side
    9,644x = 201,129,124
  5. Step 5: Solve for x
    x = 201,129,124/9,644
  6. Step 6: Final answer
    x = 20,855.36

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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.