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Finding the Third Proportional to 48,923 and 57,779

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Solution

The third proportional to 48,923 and 57,779 is: 68,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,923 : 57,779 = 57,779 : x
  2. Step 2: Convert to fraction form
    48,923/57,779 = 57,779/x
  3. Step 3: Cross multiply
    48,923x = 57,779 × 57,779
  4. Step 4: Simplify right side
    48,923x = 3,338,412,841
  5. Step 5: Solve for x
    x = 3,338,412,841/48,923
  6. Step 6: Final answer
    x = 68,238.11

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.