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Finding the Third Proportional to 1,854.50 and 3,813.50

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Solution

The third proportional to 1,854.50 and 3,813.50 is: 7,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.50 : 3,813.50 = 3,813.50 : x
  2. Step 2: Convert to fraction form
    1,854.50/3,813.50 = 3,813.50/x
  3. Step 3: Cross multiply
    1,854.50x = 3,813.50 × 3,813.50
  4. Step 4: Simplify right side
    1,854.50x = 14,542,782.25
  5. Step 5: Solve for x
    x = 14,542,782.25/1,854.50
  6. Step 6: Final answer
    x = 7,841.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.