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Finding the Third Proportional to 20,631 and 30,064.50

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Solution

The third proportional to 20,631 and 30,064.50 is: 43,811.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631 : 30,064.50 = 30,064.50 : x
  2. Step 2: Convert to fraction form
    20,631/30,064.50 = 30,064.50/x
  3. Step 3: Cross multiply
    20,631x = 30,064.50 × 30,064.50
  4. Step 4: Simplify right side
    20,631x = 903,874,160.25
  5. Step 5: Solve for x
    x = 903,874,160.25/20,631
  6. Step 6: Final answer
    x = 43,811.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.