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Finding the Third Proportional to 811.50 and 1,961.06

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Solution

The third proportional to 811.50 and 1,961.06 is: 4,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.50 : 1,961.06 = 1,961.06 : x
  2. Step 2: Convert to fraction form
    811.50/1,961.06 = 1,961.06/x
  3. Step 3: Cross multiply
    811.50x = 1,961.06 × 1,961.06
  4. Step 4: Simplify right side
    811.50x = 3,845,766.13
  5. Step 5: Solve for x
    x = 3,845,766.13/811.50
  6. Step 6: Final answer
    x = 4,739.08

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.