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Finding the Third Proportional to 7,786.13 and 20,533.50

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Solution

The third proportional to 7,786.13 and 20,533.50 is: 54,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 20,533.50 = 20,533.50 : x
  2. Step 2: Convert to fraction form
    7,786.13/20,533.50 = 20,533.50/x
  3. Step 3: Cross multiply
    7,786.13x = 20,533.50 × 20,533.50
  4. Step 4: Simplify right side
    7,786.13x = 421,624,622.25
  5. Step 5: Solve for x
    x = 421,624,622.25/7,786.13
  6. Step 6: Final answer
    x = 54,150.76

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Why These Related Problems?

These problems maintain the same ratio (2.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.