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Finding the Third Proportional to 29,099.25 and 63,529.31

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Solution

The third proportional to 29,099.25 and 63,529.31 is: 138,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099.25 : 63,529.31 = 63,529.31 : x
  2. Step 2: Convert to fraction form
    29,099.25/63,529.31 = 63,529.31/x
  3. Step 3: Cross multiply
    29,099.25x = 63,529.31 × 63,529.31
  4. Step 4: Simplify right side
    29,099.25x = 4,035,973,546.72
  5. Step 5: Solve for x
    x = 4,035,973,546.72/29,099.25
  6. Step 6: Final answer
    x = 138,696.82

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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.