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Finding the Third Proportional to 36,383 and 51,355

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Solution

The third proportional to 36,383 and 51,355 is: 72,488.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,383 : 51,355 = 51,355 : x
  2. Step 2: Convert to fraction form
    36,383/51,355 = 51,355/x
  3. Step 3: Cross multiply
    36,383x = 51,355 × 51,355
  4. Step 4: Simplify right side
    36,383x = 2,637,336,025
  5. Step 5: Solve for x
    x = 2,637,336,025/36,383
  6. Step 6: Final answer
    x = 72,488.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.