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Finding the Third Proportional to 20,477 and 43,384.50

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Solution

The third proportional to 20,477 and 43,384.50 is: 91,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477 : 43,384.50 = 43,384.50 : x
  2. Step 2: Convert to fraction form
    20,477/43,384.50 = 43,384.50/x
  3. Step 3: Cross multiply
    20,477x = 43,384.50 × 43,384.50
  4. Step 4: Simplify right side
    20,477x = 1,882,214,840.25
  5. Step 5: Solve for x
    x = 1,882,214,840.25/20,477
  6. Step 6: Final answer
    x = 91,918.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.