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Finding the Third Proportional to 1,137.80 and 2,273.70

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Solution

The third proportional to 1,137.80 and 2,273.70 is: 4,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.80 : 2,273.70 = 2,273.70 : x
  2. Step 2: Convert to fraction form
    1,137.80/2,273.70 = 2,273.70/x
  3. Step 3: Cross multiply
    1,137.80x = 2,273.70 × 2,273.70
  4. Step 4: Simplify right side
    1,137.80x = 5,169,690.37
  5. Step 5: Solve for x
    x = 5,169,690.37/1,137.80
  6. Step 6: Final answer
    x = 4,543.60

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.