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Finding the Third Proportional to 32,906.25 and 72,056.25

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Solution

The third proportional to 32,906.25 and 72,056.25 is: 157,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,906.25 : 72,056.25 = 72,056.25 : x
  2. Step 2: Convert to fraction form
    32,906.25/72,056.25 = 72,056.25/x
  3. Step 3: Cross multiply
    32,906.25x = 72,056.25 × 72,056.25
  4. Step 4: Simplify right side
    32,906.25x = 5,192,103,164.06
  5. Step 5: Solve for x
    x = 5,192,103,164.06/32,906.25
  6. Step 6: Final answer
    x = 157,784.71

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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.