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Finding the Third Proportional to 36,600 and 53,504

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Solution

The third proportional to 36,600 and 53,504 is: 78,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,600 : 53,504 = 53,504 : x
  2. Step 2: Convert to fraction form
    36,600/53,504 = 53,504/x
  3. Step 3: Cross multiply
    36,600x = 53,504 × 53,504
  4. Step 4: Simplify right side
    36,600x = 2,862,678,016
  5. Step 5: Solve for x
    x = 2,862,678,016/36,600
  6. Step 6: Final answer
    x = 78,215.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.