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Finding the Third Proportional to 2,041 and 2,919.50

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Solution

The third proportional to 2,041 and 2,919.50 is: 4,176.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041 : 2,919.50 = 2,919.50 : x
  2. Step 2: Convert to fraction form
    2,041/2,919.50 = 2,919.50/x
  3. Step 3: Cross multiply
    2,041x = 2,919.50 × 2,919.50
  4. Step 4: Simplify right side
    2,041x = 8,523,480.25
  5. Step 5: Solve for x
    x = 8,523,480.25/2,041
  6. Step 6: Final answer
    x = 4,176.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.