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Finding the Third Proportional to 20,696.25 and 32,039.25

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Solution

The third proportional to 20,696.25 and 32,039.25 is: 49,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.25 : 32,039.25 = 32,039.25 : x
  2. Step 2: Convert to fraction form
    20,696.25/32,039.25 = 32,039.25/x
  3. Step 3: Cross multiply
    20,696.25x = 32,039.25 × 32,039.25
  4. Step 4: Simplify right side
    20,696.25x = 1,026,513,540.56
  5. Step 5: Solve for x
    x = 1,026,513,540.56/20,696.25
  6. Step 6: Final answer
    x = 49,599.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.