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Finding the Third Proportional to 5,213.53 and 10,859.06

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Solution

The third proportional to 5,213.53 and 10,859.06 is: 22,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.53 : 10,859.06 = 10,859.06 : x
  2. Step 2: Convert to fraction form
    5,213.53/10,859.06 = 10,859.06/x
  3. Step 3: Cross multiply
    5,213.53x = 10,859.06 × 10,859.06
  4. Step 4: Simplify right side
    5,213.53x = 117,919,238.38
  5. Step 5: Solve for x
    x = 117,919,238.38/5,213.53
  6. Step 6: Final answer
    x = 22,617.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.