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Finding the Third Proportional to 29,464.50 and 63,635.25

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Solution

The third proportional to 29,464.50 and 63,635.25 is: 137,434.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,464.50 : 63,635.25 = 63,635.25 : x
  2. Step 2: Convert to fraction form
    29,464.50/63,635.25 = 63,635.25/x
  3. Step 3: Cross multiply
    29,464.50x = 63,635.25 × 63,635.25
  4. Step 4: Simplify right side
    29,464.50x = 4,049,445,042.56
  5. Step 5: Solve for x
    x = 4,049,445,042.56/29,464.50
  6. Step 6: Final answer
    x = 137,434.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.