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Finding the Third Proportional to 30,381 and 46,800

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Solution

The third proportional to 30,381 and 46,800 is: 72,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381 : 46,800 = 46,800 : x
  2. Step 2: Convert to fraction form
    30,381/46,800 = 46,800/x
  3. Step 3: Cross multiply
    30,381x = 46,800 × 46,800
  4. Step 4: Simplify right side
    30,381x = 2,190,240,000
  5. Step 5: Solve for x
    x = 2,190,240,000/30,381
  6. Step 6: Final answer
    x = 72,092.43

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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.