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Finding the Third Proportional to 32,797.13 and 70,261.88

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Solution

The third proportional to 32,797.13 and 70,261.88 is: 150,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.13 : 70,261.88 = 70,261.88 : x
  2. Step 2: Convert to fraction form
    32,797.13/70,261.88 = 70,261.88/x
  3. Step 3: Cross multiply
    32,797.13x = 70,261.88 × 70,261.88
  4. Step 4: Simplify right side
    32,797.13x = 4,936,731,078.52
  5. Step 5: Solve for x
    x = 4,936,731,078.52/32,797.13
  6. Step 6: Final answer
    x = 150,523.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.