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Finding the Third Proportional to 5,626.97 and 12,244.92

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Solution

The third proportional to 5,626.97 and 12,244.92 is: 26,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.97 : 12,244.92 = 12,244.92 : x
  2. Step 2: Convert to fraction form
    5,626.97/12,244.92 = 12,244.92/x
  3. Step 3: Cross multiply
    5,626.97x = 12,244.92 × 12,244.92
  4. Step 4: Simplify right side
    5,626.97x = 149,938,111.72
  5. Step 5: Solve for x
    x = 149,938,111.72/5,626.97
  6. Step 6: Final answer
    x = 26,646.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.