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Finding the Third Proportional to 8,199.56 and 17,695.13

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Solution

The third proportional to 8,199.56 and 17,695.13 is: 38,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.56 : 17,695.13 = 17,695.13 : x
  2. Step 2: Convert to fraction form
    8,199.56/17,695.13 = 17,695.13/x
  3. Step 3: Cross multiply
    8,199.56x = 17,695.13 × 17,695.13
  4. Step 4: Simplify right side
    8,199.56x = 313,117,448.77
  5. Step 5: Solve for x
    x = 313,117,448.77/8,199.56
  6. Step 6: Final answer
    x = 38,187.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.