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Finding the Third Proportional to 27,767 and 40,608.50

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Solution

The third proportional to 27,767 and 40,608.50 is: 59,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767 : 40,608.50 = 40,608.50 : x
  2. Step 2: Convert to fraction form
    27,767/40,608.50 = 40,608.50/x
  3. Step 3: Cross multiply
    27,767x = 40,608.50 × 40,608.50
  4. Step 4: Simplify right side
    27,767x = 1,649,050,272.25
  5. Step 5: Solve for x
    x = 1,649,050,272.25/27,767
  6. Step 6: Final answer
    x = 59,388.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.