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Finding the Third Proportional to 2,102.25 and 2,984.25

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Solution

The third proportional to 2,102.25 and 2,984.25 is: 4,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.25 : 2,984.25 = 2,984.25 : x
  2. Step 2: Convert to fraction form
    2,102.25/2,984.25 = 2,984.25/x
  3. Step 3: Cross multiply
    2,102.25x = 2,984.25 × 2,984.25
  4. Step 4: Simplify right side
    2,102.25x = 8,905,748.06
  5. Step 5: Solve for x
    x = 8,905,748.06/2,102.25
  6. Step 6: Final answer
    x = 4,236.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.