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Finding the Third Proportional to 2,093.34 and 4,513.22

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Solution

The third proportional to 2,093.34 and 4,513.22 is: 9,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.34 : 4,513.22 = 4,513.22 : x
  2. Step 2: Convert to fraction form
    2,093.34/4,513.22 = 4,513.22/x
  3. Step 3: Cross multiply
    2,093.34x = 4,513.22 × 4,513.22
  4. Step 4: Simplify right side
    2,093.34x = 20,369,143.49
  5. Step 5: Solve for x
    x = 20,369,143.49/2,093.34
  6. Step 6: Final answer
    x = 9,730.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.