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Finding the Third Proportional to 5,224 and 7,321.88

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Solution

The third proportional to 5,224 and 7,321.88 is: 10,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 7,321.88 = 7,321.88 : x
  2. Step 2: Convert to fraction form
    5,224/7,321.88 = 7,321.88/x
  3. Step 3: Cross multiply
    5,224x = 7,321.88 × 7,321.88
  4. Step 4: Simplify right side
    5,224x = 53,609,853.52
  5. Step 5: Solve for x
    x = 53,609,853.52/5,224
  6. Step 6: Final answer
    x = 10,262.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.