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Finding the Third Proportional to 2,089.13 and 4,736.81

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Solution

The third proportional to 2,089.13 and 4,736.81 is: 10,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.13 : 4,736.81 = 4,736.81 : x
  2. Step 2: Convert to fraction form
    2,089.13/4,736.81 = 4,736.81/x
  3. Step 3: Cross multiply
    2,089.13x = 4,736.81 × 4,736.81
  4. Step 4: Simplify right side
    2,089.13x = 22,437,392.66
  5. Step 5: Solve for x
    x = 22,437,392.66/2,089.13
  6. Step 6: Final answer
    x = 10,740.09

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.