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Finding the Third Proportional to 5,997 and 9,177.75

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Solution

The third proportional to 5,997 and 9,177.75 is: 14,045.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 9,177.75 = 9,177.75 : x
  2. Step 2: Convert to fraction form
    5,997/9,177.75 = 9,177.75/x
  3. Step 3: Cross multiply
    5,997x = 9,177.75 × 9,177.75
  4. Step 4: Simplify right side
    5,997x = 84,231,095.06
  5. Step 5: Solve for x
    x = 84,231,095.06/5,997
  6. Step 6: Final answer
    x = 14,045.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.