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Finding the Third Proportional to 5,985 and 11,220.75

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Solution

The third proportional to 5,985 and 11,220.75 is: 21,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985 : 11,220.75 = 11,220.75 : x
  2. Step 2: Convert to fraction form
    5,985/11,220.75 = 11,220.75/x
  3. Step 3: Cross multiply
    5,985x = 11,220.75 × 11,220.75
  4. Step 4: Simplify right side
    5,985x = 125,905,230.56
  5. Step 5: Solve for x
    x = 125,905,230.56/5,985
  6. Step 6: Final answer
    x = 21,036.80

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.