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Finding the Third Proportional to 984 and 2,270.50

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Solution

The third proportional to 984 and 2,270.50 is: 5,238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    984 : 2,270.50 = 2,270.50 : x
  2. Step 2: Convert to fraction form
    984/2,270.50 = 2,270.50/x
  3. Step 3: Cross multiply
    984x = 2,270.50 × 2,270.50
  4. Step 4: Simplify right side
    984x = 5,155,170.25
  5. Step 5: Solve for x
    x = 5,155,170.25/984
  6. Step 6: Final answer
    x = 5,238.99

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.