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Finding the Third Proportional to 30,338 and 46,771

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Solution

The third proportional to 30,338 and 46,771 is: 72,105.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,338 : 46,771 = 46,771 : x
  2. Step 2: Convert to fraction form
    30,338/46,771 = 46,771/x
  3. Step 3: Cross multiply
    30,338x = 46,771 × 46,771
  4. Step 4: Simplify right side
    30,338x = 2,187,526,441
  5. Step 5: Solve for x
    x = 2,187,526,441/30,338
  6. Step 6: Final answer
    x = 72,105.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.