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Finding the Third Proportional to 32,800.22 and 68,513.06

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Solution

The third proportional to 32,800.22 and 68,513.06 is: 143,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.22 : 68,513.06 = 68,513.06 : x
  2. Step 2: Convert to fraction form
    32,800.22/68,513.06 = 68,513.06/x
  3. Step 3: Cross multiply
    32,800.22x = 68,513.06 × 68,513.06
  4. Step 4: Simplify right side
    32,800.22x = 4,694,039,733.13
  5. Step 5: Solve for x
    x = 4,694,039,733.13/32,800.22
  6. Step 6: Final answer
    x = 143,110.01

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.