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Finding the Third Proportional to 15,786.14 and 33,761.11

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Solution

The third proportional to 15,786.14 and 33,761.11 is: 72,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.14 : 33,761.11 = 33,761.11 : x
  2. Step 2: Convert to fraction form
    15,786.14/33,761.11 = 33,761.11/x
  3. Step 3: Cross multiply
    15,786.14x = 33,761.11 × 33,761.11
  4. Step 4: Simplify right side
    15,786.14x = 1,139,812,506.23
  5. Step 5: Solve for x
    x = 1,139,812,506.23/15,786.14
  6. Step 6: Final answer
    x = 72,203.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.