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Finding the Third Proportional to 20,771.91 and 45,303.36

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Solution

The third proportional to 20,771.91 and 45,303.36 is: 98,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.91 : 45,303.36 = 45,303.36 : x
  2. Step 2: Convert to fraction form
    20,771.91/45,303.36 = 45,303.36/x
  3. Step 3: Cross multiply
    20,771.91x = 45,303.36 × 45,303.36
  4. Step 4: Simplify right side
    20,771.91x = 2,052,394,724.59
  5. Step 5: Solve for x
    x = 2,052,394,724.59/20,771.91
  6. Step 6: Final answer
    x = 98,806.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.