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Finding the Third Proportional to 26,976 and 59,136

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Solution

The third proportional to 26,976 and 59,136 is: 129,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,976 : 59,136 = 59,136 : x
  2. Step 2: Convert to fraction form
    26,976/59,136 = 59,136/x
  3. Step 3: Cross multiply
    26,976x = 59,136 × 59,136
  4. Step 4: Simplify right side
    26,976x = 3,497,066,496
  5. Step 5: Solve for x
    x = 3,497,066,496/26,976
  6. Step 6: Final answer
    x = 129,636.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.