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Finding the Third Proportional to 32,840.06 and 52,009.03

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Solution

The third proportional to 32,840.06 and 52,009.03 is: 82,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,840.06 : 52,009.03 = 52,009.03 : x
  2. Step 2: Convert to fraction form
    32,840.06/52,009.03 = 52,009.03/x
  3. Step 3: Cross multiply
    32,840.06x = 52,009.03 × 52,009.03
  4. Step 4: Simplify right side
    32,840.06x = 2,704,939,331.56
  5. Step 5: Solve for x
    x = 2,704,939,331.56/32,840.06
  6. Step 6: Final answer
    x = 82,367.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.