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Finding the Third Proportional to 29,924.50 and 63,005

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Solution

The third proportional to 29,924.50 and 63,005 is: 132,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,924.50 : 63,005 = 63,005 : x
  2. Step 2: Convert to fraction form
    29,924.50/63,005 = 63,005/x
  3. Step 3: Cross multiply
    29,924.50x = 63,005 × 63,005
  4. Step 4: Simplify right side
    29,924.50x = 3,969,630,025
  5. Step 5: Solve for x
    x = 3,969,630,025/29,924.50
  6. Step 6: Final answer
    x = 132,654.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.