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Finding the Third Proportional to 5,487.50 and 11,704

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Solution

The third proportional to 5,487.50 and 11,704 is: 24,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.50 : 11,704 = 11,704 : x
  2. Step 2: Convert to fraction form
    5,487.50/11,704 = 11,704/x
  3. Step 3: Cross multiply
    5,487.50x = 11,704 × 11,704
  4. Step 4: Simplify right side
    5,487.50x = 136,983,616
  5. Step 5: Solve for x
    x = 136,983,616/5,487.50
  6. Step 6: Final answer
    x = 24,962.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.