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Finding the Third Proportional to 14,676.82 and 22,331.32

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Solution

The third proportional to 14,676.82 and 22,331.32 is: 33,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.82 : 22,331.32 = 22,331.32 : x
  2. Step 2: Convert to fraction form
    14,676.82/22,331.32 = 22,331.32/x
  3. Step 3: Cross multiply
    14,676.82x = 22,331.32 × 22,331.32
  4. Step 4: Simplify right side
    14,676.82x = 498,687,866.90
  5. Step 5: Solve for x
    x = 498,687,866.90/14,676.82
  6. Step 6: Final answer
    x = 33,977.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.