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Finding the Third Proportional to 963.22 and 2,085.20

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Solution

The third proportional to 963.22 and 2,085.20 is: 4,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.22 : 2,085.20 = 2,085.20 : x
  2. Step 2: Convert to fraction form
    963.22/2,085.20 = 2,085.20/x
  3. Step 3: Cross multiply
    963.22x = 2,085.20 × 2,085.20
  4. Step 4: Simplify right side
    963.22x = 4,348,043.56
  5. Step 5: Solve for x
    x = 4,348,043.56/963.22
  6. Step 6: Final answer
    x = 4,514.07

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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.