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Finding the Third Proportional to 19,769.06 and 29,622.38

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Solution

The third proportional to 19,769.06 and 29,622.38 is: 44,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.06 : 29,622.38 = 29,622.38 : x
  2. Step 2: Convert to fraction form
    19,769.06/29,622.38 = 29,622.38/x
  3. Step 3: Cross multiply
    19,769.06x = 29,622.38 × 29,622.38
  4. Step 4: Simplify right side
    19,769.06x = 877,485,100.64
  5. Step 5: Solve for x
    x = 877,485,100.64/19,769.06
  6. Step 6: Final answer
    x = 44,386.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.