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Finding the Third Proportional to 38,202.75 and 82,973.53

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Solution

The third proportional to 38,202.75 and 82,973.53 is: 180,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.75 : 82,973.53 = 82,973.53 : x
  2. Step 2: Convert to fraction form
    38,202.75/82,973.53 = 82,973.53/x
  3. Step 3: Cross multiply
    38,202.75x = 82,973.53 × 82,973.53
  4. Step 4: Simplify right side
    38,202.75x = 6,884,606,888.09
  5. Step 5: Solve for x
    x = 6,884,606,888.09/38,202.75
  6. Step 6: Final answer
    x = 180,212.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.