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Finding the Third Proportional to 38,080.13 and 83,544.75

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Solution

The third proportional to 38,080.13 and 83,544.75 is: 183,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080.13 : 83,544.75 = 83,544.75 : x
  2. Step 2: Convert to fraction form
    38,080.13/83,544.75 = 83,544.75/x
  3. Step 3: Cross multiply
    38,080.13x = 83,544.75 × 83,544.75
  4. Step 4: Simplify right side
    38,080.13x = 6,979,725,252.56
  5. Step 5: Solve for x
    x = 6,979,725,252.56/38,080.13
  6. Step 6: Final answer
    x = 183,290.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.