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Finding the Third Proportional to 38,066 and 84,292

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Solution

The third proportional to 38,066 and 84,292 is: 186,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066 : 84,292 = 84,292 : x
  2. Step 2: Convert to fraction form
    38,066/84,292 = 84,292/x
  3. Step 3: Cross multiply
    38,066x = 84,292 × 84,292
  4. Step 4: Simplify right side
    38,066x = 7,105,141,264
  5. Step 5: Solve for x
    x = 7,105,141,264/38,066
  6. Step 6: Final answer
    x = 186,653.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.