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Finding the Third Proportional to 36,963 and 54,128.25

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Solution

The third proportional to 36,963 and 54,128.25 is: 79,264.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963 : 54,128.25 = 54,128.25 : x
  2. Step 2: Convert to fraction form
    36,963/54,128.25 = 54,128.25/x
  3. Step 3: Cross multiply
    36,963x = 54,128.25 × 54,128.25
  4. Step 4: Simplify right side
    36,963x = 2,929,867,448.06
  5. Step 5: Solve for x
    x = 2,929,867,448.06/36,963
  6. Step 6: Final answer
    x = 79,264.87

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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.