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Finding the Third Proportional to 36,656 and 54,888

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Solution

The third proportional to 36,656 and 54,888 is: 82,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,656 : 54,888 = 54,888 : x
  2. Step 2: Convert to fraction form
    36,656/54,888 = 54,888/x
  3. Step 3: Cross multiply
    36,656x = 54,888 × 54,888
  4. Step 4: Simplify right side
    36,656x = 3,012,692,544
  5. Step 5: Solve for x
    x = 3,012,692,544/36,656
  6. Step 6: Final answer
    x = 82,188.25

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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.