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Finding the Third Proportional to 5,148.56 and 11,041.31

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Solution

The third proportional to 5,148.56 and 11,041.31 is: 23,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.56 : 11,041.31 = 11,041.31 : x
  2. Step 2: Convert to fraction form
    5,148.56/11,041.31 = 11,041.31/x
  3. Step 3: Cross multiply
    5,148.56x = 11,041.31 × 11,041.31
  4. Step 4: Simplify right side
    5,148.56x = 121,910,581.72
  5. Step 5: Solve for x
    x = 121,910,581.72/5,148.56
  6. Step 6: Final answer
    x = 23,678.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.