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Finding the Third Proportional to 22,405.78 and 34,392.09

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Solution

The third proportional to 22,405.78 and 34,392.09 is: 52,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.78 : 34,392.09 = 34,392.09 : x
  2. Step 2: Convert to fraction form
    22,405.78/34,392.09 = 34,392.09/x
  3. Step 3: Cross multiply
    22,405.78x = 34,392.09 × 34,392.09
  4. Step 4: Simplify right side
    22,405.78x = 1,182,816,112.51
  5. Step 5: Solve for x
    x = 1,182,816,112.51/22,405.78
  6. Step 6: Final answer
    x = 52,790.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.