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Finding the Third Proportional to 38,134.13 and 55,827.56

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Solution

The third proportional to 38,134.13 and 55,827.56 is: 81,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.13 : 55,827.56 = 55,827.56 : x
  2. Step 2: Convert to fraction form
    38,134.13/55,827.56 = 55,827.56/x
  3. Step 3: Cross multiply
    38,134.13x = 55,827.56 × 55,827.56
  4. Step 4: Simplify right side
    38,134.13x = 3,116,716,734.69
  5. Step 5: Solve for x
    x = 3,116,716,734.69/38,134.13
  6. Step 6: Final answer
    x = 81,730.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.