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Finding the Third Proportional to 11,446.31 and 24,264.56

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Solution

The third proportional to 11,446.31 and 24,264.56 is: 51,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.31 : 24,264.56 = 24,264.56 : x
  2. Step 2: Convert to fraction form
    11,446.31/24,264.56 = 24,264.56/x
  3. Step 3: Cross multiply
    11,446.31x = 24,264.56 × 24,264.56
  4. Step 4: Simplify right side
    11,446.31x = 588,768,993.32
  5. Step 5: Solve for x
    x = 588,768,993.32/11,446.31
  6. Step 6: Final answer
    x = 51,437.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.