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Finding the Third Proportional to 963.19 and 2,104.77

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Solution

The third proportional to 963.19 and 2,104.77 is: 4,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 2,104.77 = 2,104.77 : x
  2. Step 2: Convert to fraction form
    963.19/2,104.77 = 2,104.77/x
  3. Step 3: Cross multiply
    963.19x = 2,104.77 × 2,104.77
  4. Step 4: Simplify right side
    963.19x = 4,430,073.28
  5. Step 5: Solve for x
    x = 4,430,073.28/963.19
  6. Step 6: Final answer
    x = 4,599.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.