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Finding the Third Proportional to 17,317 and 37,862

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Solution

The third proportional to 17,317 and 37,862 is: 82,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,317 : 37,862 = 37,862 : x
  2. Step 2: Convert to fraction form
    17,317/37,862 = 37,862/x
  3. Step 3: Cross multiply
    17,317x = 37,862 × 37,862
  4. Step 4: Simplify right side
    17,317x = 1,433,531,044
  5. Step 5: Solve for x
    x = 1,433,531,044/17,317
  6. Step 6: Final answer
    x = 82,781.72

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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.