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Finding the Third Proportional to 8,173.49 and 17,654.04

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Solution

The third proportional to 8,173.49 and 17,654.04 is: 38,131.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.49 : 17,654.04 = 17,654.04 : x
  2. Step 2: Convert to fraction form
    8,173.49/17,654.04 = 17,654.04/x
  3. Step 3: Cross multiply
    8,173.49x = 17,654.04 × 17,654.04
  4. Step 4: Simplify right side
    8,173.49x = 311,665,302.10
  5. Step 5: Solve for x
    x = 311,665,302.10/8,173.49
  6. Step 6: Final answer
    x = 38,131.26

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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.