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Finding the Third Proportional to 5,148.56 and 10,494.56

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Solution

The third proportional to 5,148.56 and 10,494.56 is: 21,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.56 : 10,494.56 = 10,494.56 : x
  2. Step 2: Convert to fraction form
    5,148.56/10,494.56 = 10,494.56/x
  3. Step 3: Cross multiply
    5,148.56x = 10,494.56 × 10,494.56
  4. Step 4: Simplify right side
    5,148.56x = 110,135,842.07
  5. Step 5: Solve for x
    x = 110,135,842.07/5,148.56
  6. Step 6: Final answer
    x = 21,391.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.