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Finding the Third Proportional to 39,460 and 83,816

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Solution

The third proportional to 39,460 and 83,816 is: 178,031.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 83,816 = 83,816 : x
  2. Step 2: Convert to fraction form
    39,460/83,816 = 83,816/x
  3. Step 3: Cross multiply
    39,460x = 83,816 × 83,816
  4. Step 4: Simplify right side
    39,460x = 7,025,121,856
  5. Step 5: Solve for x
    x = 7,025,121,856/39,460
  6. Step 6: Final answer
    x = 178,031.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.