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Finding the Third Proportional to 825.19 and 1,279.55

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Solution

The third proportional to 825.19 and 1,279.55 is: 1,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,279.55 = 1,279.55 : x
  2. Step 2: Convert to fraction form
    825.19/1,279.55 = 1,279.55/x
  3. Step 3: Cross multiply
    825.19x = 1,279.55 × 1,279.55
  4. Step 4: Simplify right side
    825.19x = 1,637,240.21
  5. Step 5: Solve for x
    x = 1,637,240.21/825.19
  6. Step 6: Final answer
    x = 1,984.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.