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Finding the Third Proportional to 8,434.88 and 20,145.38

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Solution

The third proportional to 8,434.88 and 20,145.38 is: 48,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.88 : 20,145.38 = 20,145.38 : x
  2. Step 2: Convert to fraction form
    8,434.88/20,145.38 = 20,145.38/x
  3. Step 3: Cross multiply
    8,434.88x = 20,145.38 × 20,145.38
  4. Step 4: Simplify right side
    8,434.88x = 405,836,133.89
  5. Step 5: Solve for x
    x = 405,836,133.89/8,434.88
  6. Step 6: Final answer
    x = 48,114.07

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.