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Finding the Third Proportional to 9,761.77 and 20,215.51

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Solution

The third proportional to 9,761.77 and 20,215.51 is: 41,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.77 : 20,215.51 = 20,215.51 : x
  2. Step 2: Convert to fraction form
    9,761.77/20,215.51 = 20,215.51/x
  3. Step 3: Cross multiply
    9,761.77x = 20,215.51 × 20,215.51
  4. Step 4: Simplify right side
    9,761.77x = 408,666,914.05
  5. Step 5: Solve for x
    x = 408,666,914.05/9,761.77
  6. Step 6: Final answer
    x = 41,864.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.