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Finding the Third Proportional to 2,307.56 and 4,950.94

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Solution

The third proportional to 2,307.56 and 4,950.94 is: 10,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.56 : 4,950.94 = 4,950.94 : x
  2. Step 2: Convert to fraction form
    2,307.56/4,950.94 = 4,950.94/x
  3. Step 3: Cross multiply
    2,307.56x = 4,950.94 × 4,950.94
  4. Step 4: Simplify right side
    2,307.56x = 24,511,782.13
  5. Step 5: Solve for x
    x = 24,511,782.13/2,307.56
  6. Step 6: Final answer
    x = 10,622.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.