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Finding the Third Proportional to 1,223.07 and 3,307.55

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Solution

The third proportional to 1,223.07 and 3,307.55 is: 8,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.07 : 3,307.55 = 3,307.55 : x
  2. Step 2: Convert to fraction form
    1,223.07/3,307.55 = 3,307.55/x
  3. Step 3: Cross multiply
    1,223.07x = 3,307.55 × 3,307.55
  4. Step 4: Simplify right side
    1,223.07x = 10,939,905.09
  5. Step 5: Solve for x
    x = 10,939,905.09/1,223.07
  6. Step 6: Final answer
    x = 8,944.64

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These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.