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Finding the Third Proportional to 38,293.80 and 84,147.19

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Solution

The third proportional to 38,293.80 and 84,147.19 is: 184,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,293.80 : 84,147.19 = 84,147.19 : x
  2. Step 2: Convert to fraction form
    38,293.80/84,147.19 = 84,147.19/x
  3. Step 3: Cross multiply
    38,293.80x = 84,147.19 × 84,147.19
  4. Step 4: Simplify right side
    38,293.80x = 7,080,749,164.16
  5. Step 5: Solve for x
    x = 7,080,749,164.16/38,293.80
  6. Step 6: Final answer
    x = 184,905.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.