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Finding the Third Proportional to 32,813.02 and 67,009.78

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Solution

The third proportional to 32,813.02 and 67,009.78 is: 136,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.02 : 67,009.78 = 67,009.78 : x
  2. Step 2: Convert to fraction form
    32,813.02/67,009.78 = 67,009.78/x
  3. Step 3: Cross multiply
    32,813.02x = 67,009.78 × 67,009.78
  4. Step 4: Simplify right side
    32,813.02x = 4,490,310,783.17
  5. Step 5: Solve for x
    x = 4,490,310,783.17/32,813.02
  6. Step 6: Final answer
    x = 136,845.42

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.