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Finding the Third Proportional to 21,019 and 43,010

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Solution

The third proportional to 21,019 and 43,010 is: 88,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019 : 43,010 = 43,010 : x
  2. Step 2: Convert to fraction form
    21,019/43,010 = 43,010/x
  3. Step 3: Cross multiply
    21,019x = 43,010 × 43,010
  4. Step 4: Simplify right side
    21,019x = 1,849,860,100
  5. Step 5: Solve for x
    x = 1,849,860,100/21,019
  6. Step 6: Final answer
    x = 88,008.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.