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Finding the Third Proportional to 20,549 and 30,091

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Solution

The third proportional to 20,549 and 30,091 is: 44,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549 : 30,091 = 30,091 : x
  2. Step 2: Convert to fraction form
    20,549/30,091 = 30,091/x
  3. Step 3: Cross multiply
    20,549x = 30,091 × 30,091
  4. Step 4: Simplify right side
    20,549x = 905,468,281
  5. Step 5: Solve for x
    x = 905,468,281/20,549
  6. Step 6: Final answer
    x = 44,063.86

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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.