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Finding the Third Proportional to 38,897 and 61,923

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Solution

The third proportional to 38,897 and 61,923 is: 98,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,897 : 61,923 = 61,923 : x
  2. Step 2: Convert to fraction form
    38,897/61,923 = 61,923/x
  3. Step 3: Cross multiply
    38,897x = 61,923 × 61,923
  4. Step 4: Simplify right side
    38,897x = 3,834,457,929
  5. Step 5: Solve for x
    x = 3,834,457,929/38,897
  6. Step 6: Final answer
    x = 98,579.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.