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Finding the Third Proportional to 825.19 and 1,269.56

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Solution

The third proportional to 825.19 and 1,269.56 is: 1,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.19 : 1,269.56 = 1,269.56 : x
  2. Step 2: Convert to fraction form
    825.19/1,269.56 = 1,269.56/x
  3. Step 3: Cross multiply
    825.19x = 1,269.56 × 1,269.56
  4. Step 4: Simplify right side
    825.19x = 1,611,788.94
  5. Step 5: Solve for x
    x = 1,611,788.94/825.19
  6. Step 6: Final answer
    x = 1,953.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.