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Finding the Third Proportional to 42,406 and 61,907

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Solution

The third proportional to 42,406 and 61,907 is: 90,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,406 : 61,907 = 61,907 : x
  2. Step 2: Convert to fraction form
    42,406/61,907 = 61,907/x
  3. Step 3: Cross multiply
    42,406x = 61,907 × 61,907
  4. Step 4: Simplify right side
    42,406x = 3,832,476,649
  5. Step 5: Solve for x
    x = 3,832,476,649/42,406
  6. Step 6: Final answer
    x = 90,375.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.