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Finding the Third Proportional to 17,468 and 37,816

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Solution

The third proportional to 17,468 and 37,816 is: 81,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468 : 37,816 = 37,816 : x
  2. Step 2: Convert to fraction form
    17,468/37,816 = 37,816/x
  3. Step 3: Cross multiply
    17,468x = 37,816 × 37,816
  4. Step 4: Simplify right side
    17,468x = 1,430,049,856
  5. Step 5: Solve for x
    x = 1,430,049,856/17,468
  6. Step 6: Final answer
    x = 81,866.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.