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Finding the Third Proportional to 32,220 and 69,976

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Solution

The third proportional to 32,220 and 69,976 is: 151,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,220 : 69,976 = 69,976 : x
  2. Step 2: Convert to fraction form
    32,220/69,976 = 69,976/x
  3. Step 3: Cross multiply
    32,220x = 69,976 × 69,976
  4. Step 4: Simplify right side
    32,220x = 4,896,640,576
  5. Step 5: Solve for x
    x = 4,896,640,576/32,220
  6. Step 6: Final answer
    x = 151,975.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.