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Finding the Third Proportional to 32,129.16 and 50,244.05

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Solution

The third proportional to 32,129.16 and 50,244.05 is: 78,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,129.16 : 50,244.05 = 50,244.05 : x
  2. Step 2: Convert to fraction form
    32,129.16/50,244.05 = 50,244.05/x
  3. Step 3: Cross multiply
    32,129.16x = 50,244.05 × 50,244.05
  4. Step 4: Simplify right side
    32,129.16x = 2,524,464,246.38
  5. Step 5: Solve for x
    x = 2,524,464,246.38/32,129.16
  6. Step 6: Final answer
    x = 78,572.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.