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Finding the Third Proportional to 20,533.50 and 42,471.84

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Solution

The third proportional to 20,533.50 and 42,471.84 is: 87,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.50 : 42,471.84 = 42,471.84 : x
  2. Step 2: Convert to fraction form
    20,533.50/42,471.84 = 42,471.84/x
  3. Step 3: Cross multiply
    20,533.50x = 42,471.84 × 42,471.84
  4. Step 4: Simplify right side
    20,533.50x = 1,803,857,511.52
  5. Step 5: Solve for x
    x = 1,803,857,511.52/20,533.50
  6. Step 6: Final answer
    x = 87,849.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.