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Finding the Third Proportional to 14,952.94 and 20,316.38

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Solution

The third proportional to 14,952.94 and 20,316.38 is: 27,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.94 : 20,316.38 = 20,316.38 : x
  2. Step 2: Convert to fraction form
    14,952.94/20,316.38 = 20,316.38/x
  3. Step 3: Cross multiply
    14,952.94x = 20,316.38 × 20,316.38
  4. Step 4: Simplify right side
    14,952.94x = 412,755,093.14
  5. Step 5: Solve for x
    x = 412,755,093.14/14,952.94
  6. Step 6: Final answer
    x = 27,603.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.