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Finding the Third Proportional to 30,418 and 61,562

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Solution

The third proportional to 30,418 and 61,562 is: 124,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418 : 61,562 = 61,562 : x
  2. Step 2: Convert to fraction form
    30,418/61,562 = 61,562/x
  3. Step 3: Cross multiply
    30,418x = 61,562 × 61,562
  4. Step 4: Simplify right side
    30,418x = 3,789,879,844
  5. Step 5: Solve for x
    x = 3,789,879,844/30,418
  6. Step 6: Final answer
    x = 124,593.33

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.