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Finding the Third Proportional to 1,173.66 and 1,803.30

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Solution

The third proportional to 1,173.66 and 1,803.30 is: 2,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.66 : 1,803.30 = 1,803.30 : x
  2. Step 2: Convert to fraction form
    1,173.66/1,803.30 = 1,803.30/x
  3. Step 3: Cross multiply
    1,173.66x = 1,803.30 × 1,803.30
  4. Step 4: Simplify right side
    1,173.66x = 3,251,907.80
  5. Step 5: Solve for x
    x = 3,251,907.80/1,173.66
  6. Step 6: Final answer
    x = 2,770.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.