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Finding the Third Proportional to 36,564.75 and 78,657.75

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Solution

The third proportional to 36,564.75 and 78,657.75 is: 169,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564.75 : 78,657.75 = 78,657.75 : x
  2. Step 2: Convert to fraction form
    36,564.75/78,657.75 = 78,657.75/x
  3. Step 3: Cross multiply
    36,564.75x = 78,657.75 × 78,657.75
  4. Step 4: Simplify right side
    36,564.75x = 6,187,041,635.06
  5. Step 5: Solve for x
    x = 6,187,041,635.06/36,564.75
  6. Step 6: Final answer
    x = 169,207.82

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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.