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Finding the Third Proportional to 38,837.25 and 84,943.13

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Solution

The third proportional to 38,837.25 and 84,943.13 is: 185,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,837.25 : 84,943.13 = 84,943.13 : x
  2. Step 2: Convert to fraction form
    38,837.25/84,943.13 = 84,943.13/x
  3. Step 3: Cross multiply
    38,837.25x = 84,943.13 × 84,943.13
  4. Step 4: Simplify right side
    38,837.25x = 7,215,334,484.77
  5. Step 5: Solve for x
    x = 7,215,334,484.77/38,837.25
  6. Step 6: Final answer
    x = 185,783.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.