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Finding the Third Proportional to 17,862 and 38,316

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Solution

The third proportional to 17,862 and 38,316 is: 82,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862 : 38,316 = 38,316 : x
  2. Step 2: Convert to fraction form
    17,862/38,316 = 38,316/x
  3. Step 3: Cross multiply
    17,862x = 38,316 × 38,316
  4. Step 4: Simplify right side
    17,862x = 1,468,115,856
  5. Step 5: Solve for x
    x = 1,468,115,856/17,862
  6. Step 6: Final answer
    x = 82,192.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.