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Finding the Third Proportional to 7,165.22 and 8,053.69

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Solution

The third proportional to 7,165.22 and 8,053.69 is: 9,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.22 : 8,053.69 = 8,053.69 : x
  2. Step 2: Convert to fraction form
    7,165.22/8,053.69 = 8,053.69/x
  3. Step 3: Cross multiply
    7,165.22x = 8,053.69 × 8,053.69
  4. Step 4: Simplify right side
    7,165.22x = 64,861,882.35
  5. Step 5: Solve for x
    x = 64,861,882.35/7,165.22
  6. Step 6: Final answer
    x = 9,052.32

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.