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Finding the Third Proportional to 6,324.75 and 10,052.44

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Solution

The third proportional to 6,324.75 and 10,052.44 is: 15,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.75 : 10,052.44 = 10,052.44 : x
  2. Step 2: Convert to fraction form
    6,324.75/10,052.44 = 10,052.44/x
  3. Step 3: Cross multiply
    6,324.75x = 10,052.44 × 10,052.44
  4. Step 4: Simplify right side
    6,324.75x = 101,051,499.69
  5. Step 5: Solve for x
    x = 101,051,499.69/6,324.75
  6. Step 6: Final answer
    x = 15,977.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.