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Finding the Third Proportional to 32,539.22 and 49,496.06

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Solution

The third proportional to 32,539.22 and 49,496.06 is: 75,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,539.22 : 49,496.06 = 49,496.06 : x
  2. Step 2: Convert to fraction form
    32,539.22/49,496.06 = 49,496.06/x
  3. Step 3: Cross multiply
    32,539.22x = 49,496.06 × 49,496.06
  4. Step 4: Simplify right side
    32,539.22x = 2,449,860,203.00
  5. Step 5: Solve for x
    x = 2,449,860,203.00/32,539.22
  6. Step 6: Final answer
    x = 75,289.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.