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Finding the Third Proportional to 8,208.84 and 17,123.91

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Solution

The third proportional to 8,208.84 and 17,123.91 is: 35,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.84 : 17,123.91 = 17,123.91 : x
  2. Step 2: Convert to fraction form
    8,208.84/17,123.91 = 17,123.91/x
  3. Step 3: Cross multiply
    8,208.84x = 17,123.91 × 17,123.91
  4. Step 4: Simplify right side
    8,208.84x = 293,228,165.26
  5. Step 5: Solve for x
    x = 293,228,165.26/8,208.84
  6. Step 6: Final answer
    x = 35,721.01

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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.