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Finding the Third Proportional to 984.75 and 2,119.13

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Solution

The third proportional to 984.75 and 2,119.13 is: 4,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 2,119.13 = 2,119.13 : x
  2. Step 2: Convert to fraction form
    984.75/2,119.13 = 2,119.13/x
  3. Step 3: Cross multiply
    984.75x = 2,119.13 × 2,119.13
  4. Step 4: Simplify right side
    984.75x = 4,490,690.77
  5. Step 5: Solve for x
    x = 4,490,690.77/984.75
  6. Step 6: Final answer
    x = 4,560.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.