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Finding the Third Proportional to 36,284 and 54,973

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Solution

The third proportional to 36,284 and 54,973 is: 83,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,284 : 54,973 = 54,973 : x
  2. Step 2: Convert to fraction form
    36,284/54,973 = 54,973/x
  3. Step 3: Cross multiply
    36,284x = 54,973 × 54,973
  4. Step 4: Simplify right side
    36,284x = 3,022,030,729
  5. Step 5: Solve for x
    x = 3,022,030,729/36,284
  6. Step 6: Final answer
    x = 83,288.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.