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Finding the Third Proportional to 1,323 and 1,984.50

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Solution

The third proportional to 1,323 and 1,984.50 is: 2,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323 : 1,984.50 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    1,323/1,984.50 = 1,984.50/x
  3. Step 3: Cross multiply
    1,323x = 1,984.50 × 1,984.50
  4. Step 4: Simplify right side
    1,323x = 3,938,240.25
  5. Step 5: Solve for x
    x = 3,938,240.25/1,323
  6. Step 6: Final answer
    x = 2,976.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.