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Finding the Third Proportional to 29,894.06 and 40,616.44

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Solution

The third proportional to 29,894.06 and 40,616.44 is: 55,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.06 : 40,616.44 = 40,616.44 : x
  2. Step 2: Convert to fraction form
    29,894.06/40,616.44 = 40,616.44/x
  3. Step 3: Cross multiply
    29,894.06x = 40,616.44 × 40,616.44
  4. Step 4: Simplify right side
    29,894.06x = 1,649,694,995.19
  5. Step 5: Solve for x
    x = 1,649,694,995.19/29,894.06
  6. Step 6: Final answer
    x = 55,184.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.