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Finding the Third Proportional to 967.13 and 2,064.75

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Solution

The third proportional to 967.13 and 2,064.75 is: 4,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.13 : 2,064.75 = 2,064.75 : x
  2. Step 2: Convert to fraction form
    967.13/2,064.75 = 2,064.75/x
  3. Step 3: Cross multiply
    967.13x = 2,064.75 × 2,064.75
  4. Step 4: Simplify right side
    967.13x = 4,263,192.56
  5. Step 5: Solve for x
    x = 4,263,192.56/967.13
  6. Step 6: Final answer
    x = 4,408.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.