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Finding the Third Proportional to 48,436 and 74,062

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Solution

The third proportional to 48,436 and 74,062 is: 113,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,436 : 74,062 = 74,062 : x
  2. Step 2: Convert to fraction form
    48,436/74,062 = 74,062/x
  3. Step 3: Cross multiply
    48,436x = 74,062 × 74,062
  4. Step 4: Simplify right side
    48,436x = 5,485,179,844
  5. Step 5: Solve for x
    x = 5,485,179,844/48,436
  6. Step 6: Final answer
    x = 113,245.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.