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Finding the Third Proportional to 8,208.56 and 17,123.63

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Solution

The third proportional to 8,208.56 and 17,123.63 is: 35,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.56 : 17,123.63 = 17,123.63 : x
  2. Step 2: Convert to fraction form
    8,208.56/17,123.63 = 17,123.63/x
  3. Step 3: Cross multiply
    8,208.56x = 17,123.63 × 17,123.63
  4. Step 4: Simplify right side
    8,208.56x = 293,218,533.14
  5. Step 5: Solve for x
    x = 293,218,533.14/8,208.56
  6. Step 6: Final answer
    x = 35,721.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.