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Finding the Third Proportional to 1,855.41 and 2,984.34

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Solution

The third proportional to 1,855.41 and 2,984.34 is: 4,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.41 : 2,984.34 = 2,984.34 : x
  2. Step 2: Convert to fraction form
    1,855.41/2,984.34 = 2,984.34/x
  3. Step 3: Cross multiply
    1,855.41x = 2,984.34 × 2,984.34
  4. Step 4: Simplify right side
    1,855.41x = 8,906,307.62
  5. Step 5: Solve for x
    x = 8,906,307.62/1,855.41
  6. Step 6: Final answer
    x = 4,800.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.