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Finding the Third Proportional to 6,102.84 and 7,500.09

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Solution

The third proportional to 6,102.84 and 7,500.09 is: 9,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.84 : 7,500.09 = 7,500.09 : x
  2. Step 2: Convert to fraction form
    6,102.84/7,500.09 = 7,500.09/x
  3. Step 3: Cross multiply
    6,102.84x = 7,500.09 × 7,500.09
  4. Step 4: Simplify right side
    6,102.84x = 56,251,406.26
  5. Step 5: Solve for x
    x = 56,251,406.26/6,102.84
  6. Step 6: Final answer
    x = 9,217.25

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.