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Finding the Third Proportional to 963.63 and 2,071.25

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Solution

The third proportional to 963.63 and 2,071.25 is: 4,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.63 : 2,071.25 = 2,071.25 : x
  2. Step 2: Convert to fraction form
    963.63/2,071.25 = 2,071.25/x
  3. Step 3: Cross multiply
    963.63x = 2,071.25 × 2,071.25
  4. Step 4: Simplify right side
    963.63x = 4,290,076.56
  5. Step 5: Solve for x
    x = 4,290,076.56/963.63
  6. Step 6: Final answer
    x = 4,452.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.