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Finding the Third Proportional to 2,984.63 and 4,674.94

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Solution

The third proportional to 2,984.63 and 4,674.94 is: 7,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.63 : 4,674.94 = 4,674.94 : x
  2. Step 2: Convert to fraction form
    2,984.63/4,674.94 = 4,674.94/x
  3. Step 3: Cross multiply
    2,984.63x = 4,674.94 × 4,674.94
  4. Step 4: Simplify right side
    2,984.63x = 21,855,040.63
  5. Step 5: Solve for x
    x = 21,855,040.63/2,984.63
  6. Step 6: Final answer
    x = 7,322.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.