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Finding the Third Proportional to 8,235 and 20,299.50

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Solution

The third proportional to 8,235 and 20,299.50 is: 50,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235 : 20,299.50 = 20,299.50 : x
  2. Step 2: Convert to fraction form
    8,235/20,299.50 = 20,299.50/x
  3. Step 3: Cross multiply
    8,235x = 20,299.50 × 20,299.50
  4. Step 4: Simplify right side
    8,235x = 412,069,700.25
  5. Step 5: Solve for x
    x = 412,069,700.25/8,235
  6. Step 6: Final answer
    x = 50,038.82

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.