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Finding the Third Proportional to 28,462 and 41,000

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Solution

The third proportional to 28,462 and 41,000 is: 59,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462 : 41,000 = 41,000 : x
  2. Step 2: Convert to fraction form
    28,462/41,000 = 41,000/x
  3. Step 3: Cross multiply
    28,462x = 41,000 × 41,000
  4. Step 4: Simplify right side
    28,462x = 1,681,000,000
  5. Step 5: Solve for x
    x = 1,681,000,000/28,462
  6. Step 6: Final answer
    x = 59,061.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.