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Finding the Third Proportional to 2,166.75 and 3,558.94

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Solution

The third proportional to 2,166.75 and 3,558.94 is: 5,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.75 : 3,558.94 = 3,558.94 : x
  2. Step 2: Convert to fraction form
    2,166.75/3,558.94 = 3,558.94/x
  3. Step 3: Cross multiply
    2,166.75x = 3,558.94 × 3,558.94
  4. Step 4: Simplify right side
    2,166.75x = 12,666,036.13
  5. Step 5: Solve for x
    x = 12,666,036.13/2,166.75
  6. Step 6: Final answer
    x = 5,845.64

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.