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Finding the Third Proportional to 30,266 and 46,675

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Solution

The third proportional to 30,266 and 46,675 is: 71,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266 : 46,675 = 46,675 : x
  2. Step 2: Convert to fraction form
    30,266/46,675 = 46,675/x
  3. Step 3: Cross multiply
    30,266x = 46,675 × 46,675
  4. Step 4: Simplify right side
    30,266x = 2,178,555,625
  5. Step 5: Solve for x
    x = 2,178,555,625/30,266
  6. Step 6: Final answer
    x = 71,980.30

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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.