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Finding the Third Proportional to 5,621.50 and 8,743

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Solution

The third proportional to 5,621.50 and 8,743 is: 13,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.50 : 8,743 = 8,743 : x
  2. Step 2: Convert to fraction form
    5,621.50/8,743 = 8,743/x
  3. Step 3: Cross multiply
    5,621.50x = 8,743 × 8,743
  4. Step 4: Simplify right side
    5,621.50x = 76,440,049
  5. Step 5: Solve for x
    x = 76,440,049/5,621.50
  6. Step 6: Final answer
    x = 13,597.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.