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Finding the Third Proportional to 955.13 and 2,056.22

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Solution

The third proportional to 955.13 and 2,056.22 is: 4,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.13 : 2,056.22 = 2,056.22 : x
  2. Step 2: Convert to fraction form
    955.13/2,056.22 = 2,056.22/x
  3. Step 3: Cross multiply
    955.13x = 2,056.22 × 2,056.22
  4. Step 4: Simplify right side
    955.13x = 4,228,035.55
  5. Step 5: Solve for x
    x = 4,228,035.55/955.13
  6. Step 6: Final answer
    x = 4,426.68

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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.