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Finding the Third Proportional to 22,997.67 and 32,827.78

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Solution

The third proportional to 22,997.67 and 32,827.78 is: 46,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.67 : 32,827.78 = 32,827.78 : x
  2. Step 2: Convert to fraction form
    22,997.67/32,827.78 = 32,827.78/x
  3. Step 3: Cross multiply
    22,997.67x = 32,827.78 × 32,827.78
  4. Step 4: Simplify right side
    22,997.67x = 1,077,663,221.80
  5. Step 5: Solve for x
    x = 1,077,663,221.80/22,997.67
  6. Step 6: Final answer
    x = 46,859.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.