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Finding the Third Proportional to 1,336.97 and 2,362.13

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Solution

The third proportional to 1,336.97 and 2,362.13 is: 4,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.97 : 2,362.13 = 2,362.13 : x
  2. Step 2: Convert to fraction form
    1,336.97/2,362.13 = 2,362.13/x
  3. Step 3: Cross multiply
    1,336.97x = 2,362.13 × 2,362.13
  4. Step 4: Simplify right side
    1,336.97x = 5,579,662.20
  5. Step 5: Solve for x
    x = 5,579,662.20/1,336.97
  6. Step 6: Final answer
    x = 4,173.35

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.