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Finding the Third Proportional to 2,205.69 and 4,848.67

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Solution

The third proportional to 2,205.69 and 4,848.67 is: 10,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.69 : 4,848.67 = 4,848.67 : x
  2. Step 2: Convert to fraction form
    2,205.69/4,848.67 = 4,848.67/x
  3. Step 3: Cross multiply
    2,205.69x = 4,848.67 × 4,848.67
  4. Step 4: Simplify right side
    2,205.69x = 23,509,588.17
  5. Step 5: Solve for x
    x = 23,509,588.17/2,205.69
  6. Step 6: Final answer
    x = 10,658.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.