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Finding the Third Proportional to 36,469 and 52,147.50

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Solution

The third proportional to 36,469 and 52,147.50 is: 74,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469 : 52,147.50 = 52,147.50 : x
  2. Step 2: Convert to fraction form
    36,469/52,147.50 = 52,147.50/x
  3. Step 3: Cross multiply
    36,469x = 52,147.50 × 52,147.50
  4. Step 4: Simplify right side
    36,469x = 2,719,361,756.25
  5. Step 5: Solve for x
    x = 2,719,361,756.25/36,469
  6. Step 6: Final answer
    x = 74,566.39

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.