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Finding the Third Proportional to 39,228 and 84,895

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Solution

The third proportional to 39,228 and 84,895 is: 183,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 84,895 = 84,895 : x
  2. Step 2: Convert to fraction form
    39,228/84,895 = 84,895/x
  3. Step 3: Cross multiply
    39,228x = 84,895 × 84,895
  4. Step 4: Simplify right side
    39,228x = 7,207,161,025
  5. Step 5: Solve for x
    x = 7,207,161,025/39,228
  6. Step 6: Final answer
    x = 183,724.92

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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.