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Finding the Third Proportional to 1,890.84 and 4,653.07

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Solution

The third proportional to 1,890.84 and 4,653.07 is: 11,450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.84 : 4,653.07 = 4,653.07 : x
  2. Step 2: Convert to fraction form
    1,890.84/4,653.07 = 4,653.07/x
  3. Step 3: Cross multiply
    1,890.84x = 4,653.07 × 4,653.07
  4. Step 4: Simplify right side
    1,890.84x = 21,651,063.33
  5. Step 5: Solve for x
    x = 21,651,063.33/1,890.84
  6. Step 6: Final answer
    x = 11,450.48

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.