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Finding the Third Proportional to 8,840 and 20,435

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Solution

The third proportional to 8,840 and 20,435 is: 47,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840 : 20,435 = 20,435 : x
  2. Step 2: Convert to fraction form
    8,840/20,435 = 20,435/x
  3. Step 3: Cross multiply
    8,840x = 20,435 × 20,435
  4. Step 4: Simplify right side
    8,840x = 417,589,225
  5. Step 5: Solve for x
    x = 417,589,225/8,840
  6. Step 6: Final answer
    x = 47,238.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.