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Finding the Third Proportional to 465.75 and 968.34

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Solution

The third proportional to 465.75 and 968.34 is: 2,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.75 : 968.34 = 968.34 : x
  2. Step 2: Convert to fraction form
    465.75/968.34 = 968.34/x
  3. Step 3: Cross multiply
    465.75x = 968.34 × 968.34
  4. Step 4: Simplify right side
    465.75x = 937,689.62
  5. Step 5: Solve for x
    x = 937,689.62/465.75
  6. Step 6: Final answer
    x = 2,013.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.