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Finding the Third Proportional to 853.25 and 1,941.13

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Solution

The third proportional to 853.25 and 1,941.13 is: 4,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,941.13 = 1,941.13 : x
  2. Step 2: Convert to fraction form
    853.25/1,941.13 = 1,941.13/x
  3. Step 3: Cross multiply
    853.25x = 1,941.13 × 1,941.13
  4. Step 4: Simplify right side
    853.25x = 3,767,966.27
  5. Step 5: Solve for x
    x = 3,767,966.27/853.25
  6. Step 6: Final answer
    x = 4,416.02

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.