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Finding the Third Proportional to 36,400.92 and 74,566.13

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Solution

The third proportional to 36,400.92 and 74,566.13 is: 152,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400.92 : 74,566.13 = 74,566.13 : x
  2. Step 2: Convert to fraction form
    36,400.92/74,566.13 = 74,566.13/x
  3. Step 3: Cross multiply
    36,400.92x = 74,566.13 × 74,566.13
  4. Step 4: Simplify right side
    36,400.92x = 5,560,106,997.52
  5. Step 5: Solve for x
    x = 5,560,106,997.52/36,400.92
  6. Step 6: Final answer
    x = 152,746.32

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.