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Finding the Third Proportional to 16,412.25 and 35,794.88

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Solution

The third proportional to 16,412.25 and 35,794.88 is: 78,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.25 : 35,794.88 = 35,794.88 : x
  2. Step 2: Convert to fraction form
    16,412.25/35,794.88 = 35,794.88/x
  3. Step 3: Cross multiply
    16,412.25x = 35,794.88 × 35,794.88
  4. Step 4: Simplify right side
    16,412.25x = 1,281,273,076.27
  5. Step 5: Solve for x
    x = 1,281,273,076.27/16,412.25
  6. Step 6: Final answer
    x = 78,068.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.