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Finding the Third Proportional to 37,386.56 and 80,643.09

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Solution

The third proportional to 37,386.56 and 80,643.09 is: 173,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,386.56 : 80,643.09 = 80,643.09 : x
  2. Step 2: Convert to fraction form
    37,386.56/80,643.09 = 80,643.09/x
  3. Step 3: Cross multiply
    37,386.56x = 80,643.09 × 80,643.09
  4. Step 4: Simplify right side
    37,386.56x = 6,503,308,569.57
  5. Step 5: Solve for x
    x = 6,503,308,569.57/37,386.56
  6. Step 6: Final answer
    x = 173,947.75

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