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Finding the Third Proportional to 32,979.66 and 49,777.03

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Solution

The third proportional to 32,979.66 and 49,777.03 is: 75,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,979.66 : 49,777.03 = 49,777.03 : x
  2. Step 2: Convert to fraction form
    32,979.66/49,777.03 = 49,777.03/x
  3. Step 3: Cross multiply
    32,979.66x = 49,777.03 × 49,777.03
  4. Step 4: Simplify right side
    32,979.66x = 2,477,752,840.06
  5. Step 5: Solve for x
    x = 2,477,752,840.06/32,979.66
  6. Step 6: Final answer
    x = 75,129.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.