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Finding the Third Proportional to 38,816 and 83,464

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Solution

The third proportional to 38,816 and 83,464 is: 179,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 83,464 = 83,464 : x
  2. Step 2: Convert to fraction form
    38,816/83,464 = 83,464/x
  3. Step 3: Cross multiply
    38,816x = 83,464 × 83,464
  4. Step 4: Simplify right side
    38,816x = 6,966,239,296
  5. Step 5: Solve for x
    x = 6,966,239,296/38,816
  6. Step 6: Final answer
    x = 179,468.24

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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.