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Finding the Third Proportional to 14,617.69 and 22,058.44

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Solution

The third proportional to 14,617.69 and 22,058.44 is: 33,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.69 : 22,058.44 = 22,058.44 : x
  2. Step 2: Convert to fraction form
    14,617.69/22,058.44 = 22,058.44/x
  3. Step 3: Cross multiply
    14,617.69x = 22,058.44 × 22,058.44
  4. Step 4: Simplify right side
    14,617.69x = 486,574,664.94
  5. Step 5: Solve for x
    x = 486,574,664.94/14,617.69
  6. Step 6: Final answer
    x = 33,286.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.