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Finding the Third Proportional to 825.19 and 1,283.34

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Solution

The third proportional to 825.19 and 1,283.34 is: 1,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,283.34 = 1,283.34 : x
  2. Step 2: Convert to fraction form
    825.19/1,283.34 = 1,283.34/x
  3. Step 3: Cross multiply
    825.19x = 1,283.34 × 1,283.34
  4. Step 4: Simplify right side
    825.19x = 1,646,971.18
  5. Step 5: Solve for x
    x = 1,646,971.18/825.19
  6. Step 6: Final answer
    x = 1,995.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.