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Finding the Third Proportional to 798.84 and 1,738.25

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Solution

The third proportional to 798.84 and 1,738.25 is: 3,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,738.25 = 1,738.25 : x
  2. Step 2: Convert to fraction form
    798.84/1,738.25 = 1,738.25/x
  3. Step 3: Cross multiply
    798.84x = 1,738.25 × 1,738.25
  4. Step 4: Simplify right side
    798.84x = 3,021,513.06
  5. Step 5: Solve for x
    x = 3,021,513.06/798.84
  6. Step 6: Final answer
    x = 3,782.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.