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Finding the Third Proportional to 36,302 and 54,664

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Solution

The third proportional to 36,302 and 54,664 is: 82,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,302 : 54,664 = 54,664 : x
  2. Step 2: Convert to fraction form
    36,302/54,664 = 54,664/x
  3. Step 3: Cross multiply
    36,302x = 54,664 × 54,664
  4. Step 4: Simplify right side
    36,302x = 2,988,152,896
  5. Step 5: Solve for x
    x = 2,988,152,896/36,302
  6. Step 6: Final answer
    x = 82,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.