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Finding the Third Proportional to 32,456.25 and 69,608.25

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Solution

The third proportional to 32,456.25 and 69,608.25 is: 149,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456.25 : 69,608.25 = 69,608.25 : x
  2. Step 2: Convert to fraction form
    32,456.25/69,608.25 = 69,608.25/x
  3. Step 3: Cross multiply
    32,456.25x = 69,608.25 × 69,608.25
  4. Step 4: Simplify right side
    32,456.25x = 4,845,308,468.06
  5. Step 5: Solve for x
    x = 4,845,308,468.06/32,456.25
  6. Step 6: Final answer
    x = 149,287.38

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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.