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Finding the Third Proportional to 24,135 and 50,458

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Solution

The third proportional to 24,135 and 50,458 is: 105,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135 : 50,458 = 50,458 : x
  2. Step 2: Convert to fraction form
    24,135/50,458 = 50,458/x
  3. Step 3: Cross multiply
    24,135x = 50,458 × 50,458
  4. Step 4: Simplify right side
    24,135x = 2,546,009,764
  5. Step 5: Solve for x
    x = 2,546,009,764/24,135
  6. Step 6: Final answer
    x = 105,490.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.