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Finding the Third Proportional to 5,297.91 and 7,195.29

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Solution

The third proportional to 5,297.91 and 7,195.29 is: 9,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.91 : 7,195.29 = 7,195.29 : x
  2. Step 2: Convert to fraction form
    5,297.91/7,195.29 = 7,195.29/x
  3. Step 3: Cross multiply
    5,297.91x = 7,195.29 × 7,195.29
  4. Step 4: Simplify right side
    5,297.91x = 51,772,184.69
  5. Step 5: Solve for x
    x = 51,772,184.69/5,297.91
  6. Step 6: Final answer
    x = 9,772.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.