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Finding the Third Proportional to 27,099 and 41,170.50

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Solution

The third proportional to 27,099 and 41,170.50 is: 62,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 41,170.50 = 41,170.50 : x
  2. Step 2: Convert to fraction form
    27,099/41,170.50 = 41,170.50/x
  3. Step 3: Cross multiply
    27,099x = 41,170.50 × 41,170.50
  4. Step 4: Simplify right side
    27,099x = 1,695,010,070.25
  5. Step 5: Solve for x
    x = 1,695,010,070.25/27,099
  6. Step 6: Final answer
    x = 62,548.81

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1.5x scale

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.