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Finding the Third Proportional to 5,737.50 and 12,567

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Solution

The third proportional to 5,737.50 and 12,567 is: 27,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.50 : 12,567 = 12,567 : x
  2. Step 2: Convert to fraction form
    5,737.50/12,567 = 12,567/x
  3. Step 3: Cross multiply
    5,737.50x = 12,567 × 12,567
  4. Step 4: Simplify right side
    5,737.50x = 157,929,489
  5. Step 5: Solve for x
    x = 157,929,489/5,737.50
  6. Step 6: Final answer
    x = 27,525.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.