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Finding the Third Proportional to 2,106.56 and 4,584.66

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Solution

The third proportional to 2,106.56 and 4,584.66 is: 9,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.56 : 4,584.66 = 4,584.66 : x
  2. Step 2: Convert to fraction form
    2,106.56/4,584.66 = 4,584.66/x
  3. Step 3: Cross multiply
    2,106.56x = 4,584.66 × 4,584.66
  4. Step 4: Simplify right side
    2,106.56x = 21,019,072.93
  5. Step 5: Solve for x
    x = 21,019,072.93/2,106.56
  6. Step 6: Final answer
    x = 9,977.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.