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Finding the Third Proportional to 22,489.13 and 33,004.69

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Solution

The third proportional to 22,489.13 and 33,004.69 is: 48,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.13 : 33,004.69 = 33,004.69 : x
  2. Step 2: Convert to fraction form
    22,489.13/33,004.69 = 33,004.69/x
  3. Step 3: Cross multiply
    22,489.13x = 33,004.69 × 33,004.69
  4. Step 4: Simplify right side
    22,489.13x = 1,089,309,396.97
  5. Step 5: Solve for x
    x = 1,089,309,396.97/22,489.13
  6. Step 6: Final answer
    x = 48,437.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.