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Finding the Third Proportional to 38,814.19 and 61,921.97

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Solution

The third proportional to 38,814.19 and 61,921.97 is: 98,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,814.19 : 61,921.97 = 61,921.97 : x
  2. Step 2: Convert to fraction form
    38,814.19/61,921.97 = 61,921.97/x
  3. Step 3: Cross multiply
    38,814.19x = 61,921.97 × 61,921.97
  4. Step 4: Simplify right side
    38,814.19x = 3,834,330,213.88
  5. Step 5: Solve for x
    x = 3,834,330,213.88/38,814.19
  6. Step 6: Final answer
    x = 98,786.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.