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Finding the Third Proportional to 36,415.50 and 79,240.50

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Solution

The third proportional to 36,415.50 and 79,240.50 is: 172,428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,415.50 : 79,240.50 = 79,240.50 : x
  2. Step 2: Convert to fraction form
    36,415.50/79,240.50 = 79,240.50/x
  3. Step 3: Cross multiply
    36,415.50x = 79,240.50 × 79,240.50
  4. Step 4: Simplify right side
    36,415.50x = 6,279,056,840.25
  5. Step 5: Solve for x
    x = 6,279,056,840.25/36,415.50
  6. Step 6: Final answer
    x = 172,428.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.