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Finding the Third Proportional to 38,977.13 and 84,190.88

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Solution

The third proportional to 38,977.13 and 84,190.88 is: 181,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977.13 : 84,190.88 = 84,190.88 : x
  2. Step 2: Convert to fraction form
    38,977.13/84,190.88 = 84,190.88/x
  3. Step 3: Cross multiply
    38,977.13x = 84,190.88 × 84,190.88
  4. Step 4: Simplify right side
    38,977.13x = 7,088,103,433.27
  5. Step 5: Solve for x
    x = 7,088,103,433.27/38,977.13
  6. Step 6: Final answer
    x = 181,852.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.