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Finding the Third Proportional to 3,020.91 and 6,642.84

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Solution

The third proportional to 3,020.91 and 6,642.84 is: 14,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.91 : 6,642.84 = 6,642.84 : x
  2. Step 2: Convert to fraction form
    3,020.91/6,642.84 = 6,642.84/x
  3. Step 3: Cross multiply
    3,020.91x = 6,642.84 × 6,642.84
  4. Step 4: Simplify right side
    3,020.91x = 44,127,373.09
  5. Step 5: Solve for x
    x = 44,127,373.09/3,020.91
  6. Step 6: Final answer
    x = 14,607.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.