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Finding the Third Proportional to 1,965.94 and 3,263.63

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Solution

The third proportional to 1,965.94 and 3,263.63 is: 5,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.94 : 3,263.63 = 3,263.63 : x
  2. Step 2: Convert to fraction form
    1,965.94/3,263.63 = 3,263.63/x
  3. Step 3: Cross multiply
    1,965.94x = 3,263.63 × 3,263.63
  4. Step 4: Simplify right side
    1,965.94x = 10,651,248.14
  5. Step 5: Solve for x
    x = 10,651,248.14/1,965.94
  6. Step 6: Final answer
    x = 5,417.90

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.