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Finding the Third Proportional to 36,277 and 51,377

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Solution

The third proportional to 36,277 and 51,377 is: 72,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,277 : 51,377 = 51,377 : x
  2. Step 2: Convert to fraction form
    36,277/51,377 = 51,377/x
  3. Step 3: Cross multiply
    36,277x = 51,377 × 51,377
  4. Step 4: Simplify right side
    36,277x = 2,639,596,129
  5. Step 5: Solve for x
    x = 2,639,596,129/36,277
  6. Step 6: Final answer
    x = 72,762.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.