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Finding the Third Proportional to 36,227 and 53,043

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Solution

The third proportional to 36,227 and 53,043 is: 77,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,227 : 53,043 = 53,043 : x
  2. Step 2: Convert to fraction form
    36,227/53,043 = 53,043/x
  3. Step 3: Cross multiply
    36,227x = 53,043 × 53,043
  4. Step 4: Simplify right side
    36,227x = 2,813,559,849
  5. Step 5: Solve for x
    x = 2,813,559,849/36,227
  6. Step 6: Final answer
    x = 77,664.72

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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.