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Finding the Third Proportional to 969.75 and 1,419.19

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Solution

The third proportional to 969.75 and 1,419.19 is: 2,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.75 : 1,419.19 = 1,419.19 : x
  2. Step 2: Convert to fraction form
    969.75/1,419.19 = 1,419.19/x
  3. Step 3: Cross multiply
    969.75x = 1,419.19 × 1,419.19
  4. Step 4: Simplify right side
    969.75x = 2,014,093.16
  5. Step 5: Solve for x
    x = 2,014,093.16/969.75
  6. Step 6: Final answer
    x = 2,076.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.