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Finding the Third Proportional to 38,203.31 and 83,505.94

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Solution

The third proportional to 38,203.31 and 83,505.94 is: 182,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,203.31 : 83,505.94 = 83,505.94 : x
  2. Step 2: Convert to fraction form
    38,203.31/83,505.94 = 83,505.94/x
  3. Step 3: Cross multiply
    38,203.31x = 83,505.94 × 83,505.94
  4. Step 4: Simplify right side
    38,203.31x = 6,973,241,597.75
  5. Step 5: Solve for x
    x = 6,973,241,597.75/38,203.31
  6. Step 6: Final answer
    x = 182,529.76

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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.