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Finding the Third Proportional to 32,828 and 70,324

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Solution

The third proportional to 32,828 and 70,324 is: 150,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828 : 70,324 = 70,324 : x
  2. Step 2: Convert to fraction form
    32,828/70,324 = 70,324/x
  3. Step 3: Cross multiply
    32,828x = 70,324 × 70,324
  4. Step 4: Simplify right side
    32,828x = 4,945,464,976
  5. Step 5: Solve for x
    x = 4,945,464,976/32,828
  6. Step 6: Final answer
    x = 150,647.77

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Why These Related Problems?

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