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Finding the Third Proportional to 32,410.13 and 77,299.31

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Solution

The third proportional to 32,410.13 and 77,299.31 is: 184,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.13 : 77,299.31 = 77,299.31 : x
  2. Step 2: Convert to fraction form
    32,410.13/77,299.31 = 77,299.31/x
  3. Step 3: Cross multiply
    32,410.13x = 77,299.31 × 77,299.31
  4. Step 4: Simplify right side
    32,410.13x = 5,975,183,712.97
  5. Step 5: Solve for x
    x = 5,975,183,712.97/32,410.13
  6. Step 6: Final answer
    x = 184,361.64

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.