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Finding the Third Proportional to 17,505 and 38,411.44

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Solution

The third proportional to 17,505 and 38,411.44 is: 84,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505 : 38,411.44 = 38,411.44 : x
  2. Step 2: Convert to fraction form
    17,505/38,411.44 = 38,411.44/x
  3. Step 3: Cross multiply
    17,505x = 38,411.44 × 38,411.44
  4. Step 4: Simplify right side
    17,505x = 1,475,438,530.82
  5. Step 5: Solve for x
    x = 1,475,438,530.82/17,505
  6. Step 6: Final answer
    x = 84,286.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.