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Finding the Third Proportional to 32,767.03 and 58,266.84

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Solution

The third proportional to 32,767.03 and 58,266.84 is: 103,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.03 : 58,266.84 = 58,266.84 : x
  2. Step 2: Convert to fraction form
    32,767.03/58,266.84 = 58,266.84/x
  3. Step 3: Cross multiply
    32,767.03x = 58,266.84 × 58,266.84
  4. Step 4: Simplify right side
    32,767.03x = 3,395,025,080.59
  5. Step 5: Solve for x
    x = 3,395,025,080.59/32,767.03
  6. Step 6: Final answer
    x = 103,611.01

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.