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Finding the Third Proportional to 11,362.78 and 24,216.47

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Solution

The third proportional to 11,362.78 and 24,216.47 is: 51,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.78 : 24,216.47 = 24,216.47 : x
  2. Step 2: Convert to fraction form
    11,362.78/24,216.47 = 24,216.47/x
  3. Step 3: Cross multiply
    11,362.78x = 24,216.47 × 24,216.47
  4. Step 4: Simplify right side
    11,362.78x = 586,437,358.72
  5. Step 5: Solve for x
    x = 586,437,358.72/11,362.78
  6. Step 6: Final answer
    x = 51,610.37

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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.