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Finding the Third Proportional to 5,854.50 and 14,190.75

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Solution

The third proportional to 5,854.50 and 14,190.75 is: 34,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.50 : 14,190.75 = 14,190.75 : x
  2. Step 2: Convert to fraction form
    5,854.50/14,190.75 = 14,190.75/x
  3. Step 3: Cross multiply
    5,854.50x = 14,190.75 × 14,190.75
  4. Step 4: Simplify right side
    5,854.50x = 201,377,385.56
  5. Step 5: Solve for x
    x = 201,377,385.56/5,854.50
  6. Step 6: Final answer
    x = 34,397.03

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.