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Finding the Third Proportional to 36,048 and 53,136

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Solution

The third proportional to 36,048 and 53,136 is: 78,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,048 : 53,136 = 53,136 : x
  2. Step 2: Convert to fraction form
    36,048/53,136 = 53,136/x
  3. Step 3: Cross multiply
    36,048x = 53,136 × 53,136
  4. Step 4: Simplify right side
    36,048x = 2,823,434,496
  5. Step 5: Solve for x
    x = 2,823,434,496/36,048
  6. Step 6: Final answer
    x = 78,324.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.