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Finding the Third Proportional to 36,530 and 53,643

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Solution

The third proportional to 36,530 and 53,643 is: 78,772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,530 : 53,643 = 53,643 : x
  2. Step 2: Convert to fraction form
    36,530/53,643 = 53,643/x
  3. Step 3: Cross multiply
    36,530x = 53,643 × 53,643
  4. Step 4: Simplify right side
    36,530x = 2,877,571,449
  5. Step 5: Solve for x
    x = 2,877,571,449/36,530
  6. Step 6: Final answer
    x = 78,772.83

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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.