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Finding the Third Proportional to 1,962.35 and 4,236.05

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Solution

The third proportional to 1,962.35 and 4,236.05 is: 9,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.35 : 4,236.05 = 4,236.05 : x
  2. Step 2: Convert to fraction form
    1,962.35/4,236.05 = 4,236.05/x
  3. Step 3: Cross multiply
    1,962.35x = 4,236.05 × 4,236.05
  4. Step 4: Simplify right side
    1,962.35x = 17,944,093.13
  5. Step 5: Solve for x
    x = 17,944,093.13/1,962.35
  6. Step 6: Final answer
    x = 9,144.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.