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Finding the Third Proportional to 14,334.38 and 30,853.69

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Solution

The third proportional to 14,334.38 and 30,853.69 is: 66,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.38 : 30,853.69 = 30,853.69 : x
  2. Step 2: Convert to fraction form
    14,334.38/30,853.69 = 30,853.69/x
  3. Step 3: Cross multiply
    14,334.38x = 30,853.69 × 30,853.69
  4. Step 4: Simplify right side
    14,334.38x = 951,950,032.35
  5. Step 5: Solve for x
    x = 951,950,032.35/14,334.38
  6. Step 6: Final answer
    x = 66,410.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.