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Finding the Third Proportional to 20,213 and 28,883

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Solution

The third proportional to 20,213 and 28,883 is: 41,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 28,883 = 28,883 : x
  2. Step 2: Convert to fraction form
    20,213/28,883 = 28,883/x
  3. Step 3: Cross multiply
    20,213x = 28,883 × 28,883
  4. Step 4: Simplify right side
    20,213x = 834,227,689
  5. Step 5: Solve for x
    x = 834,227,689/20,213
  6. Step 6: Final answer
    x = 41,271.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.