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Finding the Third Proportional to 17,678.25 and 35,869.08

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Solution

The third proportional to 17,678.25 and 35,869.08 is: 72,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.25 : 35,869.08 = 35,869.08 : x
  2. Step 2: Convert to fraction form
    17,678.25/35,869.08 = 35,869.08/x
  3. Step 3: Cross multiply
    17,678.25x = 35,869.08 × 35,869.08
  4. Step 4: Simplify right side
    17,678.25x = 1,286,590,765.54
  5. Step 5: Solve for x
    x = 1,286,590,765.54/17,678.25
  6. Step 6: Final answer
    x = 72,778.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.