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Finding the Third Proportional to 2,255.34 and 4,806.84

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Solution

The third proportional to 2,255.34 and 4,806.84 is: 10,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.34 : 4,806.84 = 4,806.84 : x
  2. Step 2: Convert to fraction form
    2,255.34/4,806.84 = 4,806.84/x
  3. Step 3: Cross multiply
    2,255.34x = 4,806.84 × 4,806.84
  4. Step 4: Simplify right side
    2,255.34x = 23,105,746.84
  5. Step 5: Solve for x
    x = 23,105,746.84/2,255.34
  6. Step 6: Final answer
    x = 10,244.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.