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Finding the Third Proportional to 17,102.25 and 27,316.69

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Solution

The third proportional to 17,102.25 and 27,316.69 is: 43,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.25 : 27,316.69 = 27,316.69 : x
  2. Step 2: Convert to fraction form
    17,102.25/27,316.69 = 27,316.69/x
  3. Step 3: Cross multiply
    17,102.25x = 27,316.69 × 27,316.69
  4. Step 4: Simplify right side
    17,102.25x = 746,201,415.97
  5. Step 5: Solve for x
    x = 746,201,415.97/17,102.25
  6. Step 6: Final answer
    x = 43,631.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.