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Finding the Third Proportional to 36,955.13 and 81,064.13

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Solution

The third proportional to 36,955.13 and 81,064.13 is: 177,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,955.13 : 81,064.13 = 81,064.13 : x
  2. Step 2: Convert to fraction form
    36,955.13/81,064.13 = 81,064.13/x
  3. Step 3: Cross multiply
    36,955.13x = 81,064.13 × 81,064.13
  4. Step 4: Simplify right side
    36,955.13x = 6,571,392,362.02
  5. Step 5: Solve for x
    x = 6,571,392,362.02/36,955.13
  6. Step 6: Final answer
    x = 177,820.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.