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Finding the Third Proportional to 38,342 and 83,434

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Solution

The third proportional to 38,342 and 83,434 is: 181,556.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342 : 83,434 = 83,434 : x
  2. Step 2: Convert to fraction form
    38,342/83,434 = 83,434/x
  3. Step 3: Cross multiply
    38,342x = 83,434 × 83,434
  4. Step 4: Simplify right side
    38,342x = 6,961,232,356
  5. Step 5: Solve for x
    x = 6,961,232,356/38,342
  6. Step 6: Final answer
    x = 181,556.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.