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Finding the Third Proportional to 844.86 and 1,854.25

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Solution

The third proportional to 844.86 and 1,854.25 is: 4,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.86 : 1,854.25 = 1,854.25 : x
  2. Step 2: Convert to fraction form
    844.86/1,854.25 = 1,854.25/x
  3. Step 3: Cross multiply
    844.86x = 1,854.25 × 1,854.25
  4. Step 4: Simplify right side
    844.86x = 3,438,228.58
  5. Step 5: Solve for x
    x = 3,438,228.58/844.86
  6. Step 6: Final answer
    x = 4,069.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.