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Finding the Third Proportional to 30,840 and 41,000

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Solution

The third proportional to 30,840 and 41,000 is: 54,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840 : 41,000 = 41,000 : x
  2. Step 2: Convert to fraction form
    30,840/41,000 = 41,000/x
  3. Step 3: Cross multiply
    30,840x = 41,000 × 41,000
  4. Step 4: Simplify right side
    30,840x = 1,681,000,000
  5. Step 5: Solve for x
    x = 1,681,000,000/30,840
  6. Step 6: Final answer
    x = 54,507.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.