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Finding the Third Proportional to 20,106.56 and 29,817.56

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Solution

The third proportional to 20,106.56 and 29,817.56 is: 44,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.56 : 29,817.56 = 29,817.56 : x
  2. Step 2: Convert to fraction form
    20,106.56/29,817.56 = 29,817.56/x
  3. Step 3: Cross multiply
    20,106.56x = 29,817.56 × 29,817.56
  4. Step 4: Simplify right side
    20,106.56x = 889,087,033.44
  5. Step 5: Solve for x
    x = 889,087,033.44/20,106.56
  6. Step 6: Final answer
    x = 44,218.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.