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Finding the Third Proportional to 36,490.50 and 52,184.25

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Solution

The third proportional to 36,490.50 and 52,184.25 is: 74,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,490.50 : 52,184.25 = 52,184.25 : x
  2. Step 2: Convert to fraction form
    36,490.50/52,184.25 = 52,184.25/x
  3. Step 3: Cross multiply
    36,490.50x = 52,184.25 × 52,184.25
  4. Step 4: Simplify right side
    36,490.50x = 2,723,195,948.06
  5. Step 5: Solve for x
    x = 2,723,195,948.06/36,490.50
  6. Step 6: Final answer
    x = 74,627.53

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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.