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Finding the Third Proportional to 1,861 and 4,015

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Solution

The third proportional to 1,861 and 4,015 is: 8,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861 : 4,015 = 4,015 : x
  2. Step 2: Convert to fraction form
    1,861/4,015 = 4,015/x
  3. Step 3: Cross multiply
    1,861x = 4,015 × 4,015
  4. Step 4: Simplify right side
    1,861x = 16,120,225
  5. Step 5: Solve for x
    x = 16,120,225/1,861
  6. Step 6: Final answer
    x = 8,662.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.