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Finding the Third Proportional to 29,794.50 and 62,714.25

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Solution

The third proportional to 29,794.50 and 62,714.25 is: 132,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.50 : 62,714.25 = 62,714.25 : x
  2. Step 2: Convert to fraction form
    29,794.50/62,714.25 = 62,714.25/x
  3. Step 3: Cross multiply
    29,794.50x = 62,714.25 × 62,714.25
  4. Step 4: Simplify right side
    29,794.50x = 3,933,077,153.06
  5. Step 5: Solve for x
    x = 3,933,077,153.06/29,794.50
  6. Step 6: Final answer
    x = 132,006.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.