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Finding the Third Proportional to 1,986.19 and 4,674.94

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Solution

The third proportional to 1,986.19 and 4,674.94 is: 11,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.19 : 4,674.94 = 4,674.94 : x
  2. Step 2: Convert to fraction form
    1,986.19/4,674.94 = 4,674.94/x
  3. Step 3: Cross multiply
    1,986.19x = 4,674.94 × 4,674.94
  4. Step 4: Simplify right side
    1,986.19x = 21,855,040.63
  5. Step 5: Solve for x
    x = 21,855,040.63/1,986.19
  6. Step 6: Final answer
    x = 11,003.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.