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Finding the Third Proportional to 9,677.06 and 21,198.56

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Solution

The third proportional to 9,677.06 and 21,198.56 is: 46,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.06 : 21,198.56 = 21,198.56 : x
  2. Step 2: Convert to fraction form
    9,677.06/21,198.56 = 21,198.56/x
  3. Step 3: Cross multiply
    9,677.06x = 21,198.56 × 21,198.56
  4. Step 4: Simplify right side
    9,677.06x = 449,379,052.07
  5. Step 5: Solve for x
    x = 449,379,052.07/9,677.06
  6. Step 6: Final answer
    x = 46,437.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.