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Finding the Third Proportional to 38,857.13 and 85,122.38

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Solution

The third proportional to 38,857.13 and 85,122.38 is: 186,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.13 : 85,122.38 = 85,122.38 : x
  2. Step 2: Convert to fraction form
    38,857.13/85,122.38 = 85,122.38/x
  3. Step 3: Cross multiply
    38,857.13x = 85,122.38 × 85,122.38
  4. Step 4: Simplify right side
    38,857.13x = 7,245,818,725.64
  5. Step 5: Solve for x
    x = 7,245,818,725.64/38,857.13
  6. Step 6: Final answer
    x = 186,473.36

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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.