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Finding the Third Proportional to 38,884.13 and 84,682.13

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Solution

The third proportional to 38,884.13 and 84,682.13 is: 184,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.13 : 84,682.13 = 84,682.13 : x
  2. Step 2: Convert to fraction form
    38,884.13/84,682.13 = 84,682.13/x
  3. Step 3: Cross multiply
    38,884.13x = 84,682.13 × 84,682.13
  4. Step 4: Simplify right side
    38,884.13x = 7,171,062,294.52
  5. Step 5: Solve for x
    x = 7,171,062,294.52/38,884.13
  6. Step 6: Final answer
    x = 184,421.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.