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Finding the Third Proportional to 32,015.25 and 50,225.06

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Solution

The third proportional to 32,015.25 and 50,225.06 is: 78,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.25 : 50,225.06 = 50,225.06 : x
  2. Step 2: Convert to fraction form
    32,015.25/50,225.06 = 50,225.06/x
  3. Step 3: Cross multiply
    32,015.25x = 50,225.06 × 50,225.06
  4. Step 4: Simplify right side
    32,015.25x = 2,522,556,903.13
  5. Step 5: Solve for x
    x = 2,522,556,903.13/32,015.25
  6. Step 6: Final answer
    x = 78,792.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.