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Finding the Third Proportional to 22,645.69 and 32,662.13

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Solution

The third proportional to 22,645.69 and 32,662.13 is: 47,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.69 : 32,662.13 = 32,662.13 : x
  2. Step 2: Convert to fraction form
    22,645.69/32,662.13 = 32,662.13/x
  3. Step 3: Cross multiply
    22,645.69x = 32,662.13 × 32,662.13
  4. Step 4: Simplify right side
    22,645.69x = 1,066,814,409.52
  5. Step 5: Solve for x
    x = 1,066,814,409.52/22,645.69
  6. Step 6: Final answer
    x = 47,108.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.