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Finding the Third Proportional to 14,380.50 and 29,458

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Solution

The third proportional to 14,380.50 and 29,458 is: 60,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,380.50 : 29,458 = 29,458 : x
  2. Step 2: Convert to fraction form
    14,380.50/29,458 = 29,458/x
  3. Step 3: Cross multiply
    14,380.50x = 29,458 × 29,458
  4. Step 4: Simplify right side
    14,380.50x = 867,773,764
  5. Step 5: Solve for x
    x = 867,773,764/14,380.50
  6. Step 6: Final answer
    x = 60,343.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.