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Finding the Third Proportional to 29,289.19 and 63,028.31

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Solution

The third proportional to 29,289.19 and 63,028.31 is: 135,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,289.19 : 63,028.31 = 63,028.31 : x
  2. Step 2: Convert to fraction form
    29,289.19/63,028.31 = 63,028.31/x
  3. Step 3: Cross multiply
    29,289.19x = 63,028.31 × 63,028.31
  4. Step 4: Simplify right side
    29,289.19x = 3,972,568,176.60
  5. Step 5: Solve for x
    x = 3,972,568,176.60/29,289.19
  6. Step 6: Final answer
    x = 135,632.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.