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Finding the Third Proportional to 48,338 and 74,699

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Solution

The third proportional to 48,338 and 74,699 is: 115,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,338 : 74,699 = 74,699 : x
  2. Step 2: Convert to fraction form
    48,338/74,699 = 74,699/x
  3. Step 3: Cross multiply
    48,338x = 74,699 × 74,699
  4. Step 4: Simplify right side
    48,338x = 5,579,940,601
  5. Step 5: Solve for x
    x = 5,579,940,601/48,338
  6. Step 6: Final answer
    x = 115,435.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.