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Finding the Third Proportional to 36,551.25 and 78,615.56

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Solution

The third proportional to 36,551.25 and 78,615.56 is: 169,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,551.25 : 78,615.56 = 78,615.56 : x
  2. Step 2: Convert to fraction form
    36,551.25/78,615.56 = 78,615.56/x
  3. Step 3: Cross multiply
    36,551.25x = 78,615.56 × 78,615.56
  4. Step 4: Simplify right side
    36,551.25x = 6,180,406,667.19
  5. Step 5: Solve for x
    x = 6,180,406,667.19/36,551.25
  6. Step 6: Final answer
    x = 169,088.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.