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Finding the Third Proportional to 29,640.94 and 63,458.44

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Solution

The third proportional to 29,640.94 and 63,458.44 is: 135,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640.94 : 63,458.44 = 63,458.44 : x
  2. Step 2: Convert to fraction form
    29,640.94/63,458.44 = 63,458.44/x
  3. Step 3: Cross multiply
    29,640.94x = 63,458.44 × 63,458.44
  4. Step 4: Simplify right side
    29,640.94x = 4,026,973,289.94
  5. Step 5: Solve for x
    x = 4,026,973,289.94/29,640.94
  6. Step 6: Final answer
    x = 135,858.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.