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Finding the Third Proportional to 29,323.69 and 64,025.44

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Solution

The third proportional to 29,323.69 and 64,025.44 is: 139,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.69 : 64,025.44 = 64,025.44 : x
  2. Step 2: Convert to fraction form
    29,323.69/64,025.44 = 64,025.44/x
  3. Step 3: Cross multiply
    29,323.69x = 64,025.44 × 64,025.44
  4. Step 4: Simplify right side
    29,323.69x = 4,099,256,647.07
  5. Step 5: Solve for x
    x = 4,099,256,647.07/29,323.69
  6. Step 6: Final answer
    x = 139,793.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.