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Finding the Third Proportional to 32,976 and 71,136

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Solution

The third proportional to 32,976 and 71,136 is: 153,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976 : 71,136 = 71,136 : x
  2. Step 2: Convert to fraction form
    32,976/71,136 = 71,136/x
  3. Step 3: Cross multiply
    32,976x = 71,136 × 71,136
  4. Step 4: Simplify right side
    32,976x = 5,060,330,496
  5. Step 5: Solve for x
    x = 5,060,330,496/32,976
  6. Step 6: Final answer
    x = 153,454.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.