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Finding the Third Proportional to 2,984.63 and 7,020.56

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Solution

The third proportional to 2,984.63 and 7,020.56 is: 16,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.63 : 7,020.56 = 7,020.56 : x
  2. Step 2: Convert to fraction form
    2,984.63/7,020.56 = 7,020.56/x
  3. Step 3: Cross multiply
    2,984.63x = 7,020.56 × 7,020.56
  4. Step 4: Simplify right side
    2,984.63x = 49,288,297.82
  5. Step 5: Solve for x
    x = 49,288,297.82/2,984.63
  6. Step 6: Final answer
    x = 16,514.07

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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.