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Finding the Third Proportional to 7,255.83 and 8,307.56

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Solution

The third proportional to 7,255.83 and 8,307.56 is: 9,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,255.83 : 8,307.56 = 8,307.56 : x
  2. Step 2: Convert to fraction form
    7,255.83/8,307.56 = 8,307.56/x
  3. Step 3: Cross multiply
    7,255.83x = 8,307.56 × 8,307.56
  4. Step 4: Simplify right side
    7,255.83x = 69,015,594.69
  5. Step 5: Solve for x
    x = 69,015,594.69/7,255.83
  6. Step 6: Final answer
    x = 9,511.75

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.