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Finding the Third Proportional to 1,269.16 and 1,893.22

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Solution

The third proportional to 1,269.16 and 1,893.22 is: 2,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.16 : 1,893.22 = 1,893.22 : x
  2. Step 2: Convert to fraction form
    1,269.16/1,893.22 = 1,893.22/x
  3. Step 3: Cross multiply
    1,269.16x = 1,893.22 × 1,893.22
  4. Step 4: Simplify right side
    1,269.16x = 3,584,269.84
  5. Step 5: Solve for x
    x = 3,584,269.84/1,269.16
  6. Step 6: Final answer
    x = 2,824.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.