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Finding the Third Proportional to 963.19 and 1,971.94

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Solution

The third proportional to 963.19 and 1,971.94 is: 4,037.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,971.94 = 1,971.94 : x
  2. Step 2: Convert to fraction form
    963.19/1,971.94 = 1,971.94/x
  3. Step 3: Cross multiply
    963.19x = 1,971.94 × 1,971.94
  4. Step 4: Simplify right side
    963.19x = 3,888,537.50
  5. Step 5: Solve for x
    x = 3,888,537.50/963.19
  6. Step 6: Final answer
    x = 4,037.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.