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Finding the Third Proportional to 36,553 and 54,833

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Solution

The third proportional to 36,553 and 54,833 is: 82,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,553 : 54,833 = 54,833 : x
  2. Step 2: Convert to fraction form
    36,553/54,833 = 54,833/x
  3. Step 3: Cross multiply
    36,553x = 54,833 × 54,833
  4. Step 4: Simplify right side
    36,553x = 3,006,657,889
  5. Step 5: Solve for x
    x = 3,006,657,889/36,553
  6. Step 6: Final answer
    x = 82,254.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.