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Finding the Third Proportional to 12,698.44 and 29,204.72

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Solution

The third proportional to 12,698.44 and 29,204.72 is: 67,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.44 : 29,204.72 = 29,204.72 : x
  2. Step 2: Convert to fraction form
    12,698.44/29,204.72 = 29,204.72/x
  3. Step 3: Cross multiply
    12,698.44x = 29,204.72 × 29,204.72
  4. Step 4: Simplify right side
    12,698.44x = 852,915,597.27
  5. Step 5: Solve for x
    x = 852,915,597.27/12,698.44
  6. Step 6: Final answer
    x = 67,166.97

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.