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Finding the Third Proportional to 22,604.06 and 45,823.22

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Solution

The third proportional to 22,604.06 and 45,823.22 is: 92,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.06 : 45,823.22 = 45,823.22 : x
  2. Step 2: Convert to fraction form
    22,604.06/45,823.22 = 45,823.22/x
  3. Step 3: Cross multiply
    22,604.06x = 45,823.22 × 45,823.22
  4. Step 4: Simplify right side
    22,604.06x = 2,099,767,376.61
  5. Step 5: Solve for x
    x = 2,099,767,376.61/22,604.06
  6. Step 6: Final answer
    x = 92,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.