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Finding the Third Proportional to 787.36 and 1,696.22

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Solution

The third proportional to 787.36 and 1,696.22 is: 3,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.36 : 1,696.22 = 1,696.22 : x
  2. Step 2: Convert to fraction form
    787.36/1,696.22 = 1,696.22/x
  3. Step 3: Cross multiply
    787.36x = 1,696.22 × 1,696.22
  4. Step 4: Simplify right side
    787.36x = 2,877,158.05
  5. Step 5: Solve for x
    x = 2,877,158.05/787.36
  6. Step 6: Final answer
    x = 3,654.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.