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Finding the Third Proportional to 1,984.50 and 3,029.63

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Solution

The third proportional to 1,984.50 and 3,029.63 is: 4,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.50 : 3,029.63 = 3,029.63 : x
  2. Step 2: Convert to fraction form
    1,984.50/3,029.63 = 3,029.63/x
  3. Step 3: Cross multiply
    1,984.50x = 3,029.63 × 3,029.63
  4. Step 4: Simplify right side
    1,984.50x = 9,178,627.64
  5. Step 5: Solve for x
    x = 9,178,627.64/1,984.50
  6. Step 6: Final answer
    x = 4,625.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.