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Finding the Third Proportional to 969.22 and 1,384.36

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Solution

The third proportional to 969.22 and 1,384.36 is: 1,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.22 : 1,384.36 = 1,384.36 : x
  2. Step 2: Convert to fraction form
    969.22/1,384.36 = 1,384.36/x
  3. Step 3: Cross multiply
    969.22x = 1,384.36 × 1,384.36
  4. Step 4: Simplify right side
    969.22x = 1,916,450.88
  5. Step 5: Solve for x
    x = 1,916,450.88/969.22
  6. Step 6: Final answer
    x = 1,977.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.