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Finding the Third Proportional to 9,182 and 14,206

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Solution

The third proportional to 9,182 and 14,206 is: 21,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182 : 14,206 = 14,206 : x
  2. Step 2: Convert to fraction form
    9,182/14,206 = 14,206/x
  3. Step 3: Cross multiply
    9,182x = 14,206 × 14,206
  4. Step 4: Simplify right side
    9,182x = 201,810,436
  5. Step 5: Solve for x
    x = 201,810,436/9,182
  6. Step 6: Final answer
    x = 21,978.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.