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Finding the Third Proportional to 17,377 and 38,210

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Solution

The third proportional to 17,377 and 38,210 is: 84,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377 : 38,210 = 38,210 : x
  2. Step 2: Convert to fraction form
    17,377/38,210 = 38,210/x
  3. Step 3: Cross multiply
    17,377x = 38,210 × 38,210
  4. Step 4: Simplify right side
    17,377x = 1,460,004,100
  5. Step 5: Solve for x
    x = 1,460,004,100/17,377
  6. Step 6: Final answer
    x = 84,019.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.