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Finding the Third Proportional to 4,736.81 and 9,971.44

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Solution

The third proportional to 4,736.81 and 9,971.44 is: 20,990.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.81 : 9,971.44 = 9,971.44 : x
  2. Step 2: Convert to fraction form
    4,736.81/9,971.44 = 9,971.44/x
  3. Step 3: Cross multiply
    4,736.81x = 9,971.44 × 9,971.44
  4. Step 4: Simplify right side
    4,736.81x = 99,429,565.82
  5. Step 5: Solve for x
    x = 99,429,565.82/4,736.81
  6. Step 6: Final answer
    x = 20,990.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.