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Finding the Third Proportional to 2,093.34 and 4,549.92

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Solution

The third proportional to 2,093.34 and 4,549.92 is: 9,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.34 : 4,549.92 = 4,549.92 : x
  2. Step 2: Convert to fraction form
    2,093.34/4,549.92 = 4,549.92/x
  3. Step 3: Cross multiply
    2,093.34x = 4,549.92 × 4,549.92
  4. Step 4: Simplify right side
    2,093.34x = 20,701,789.07
  5. Step 5: Solve for x
    x = 20,701,789.07/2,093.34
  6. Step 6: Final answer
    x = 9,889.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.