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Finding the Third Proportional to 28,824 and 43,621

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Solution

The third proportional to 28,824 and 43,621 is: 66,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,824 : 43,621 = 43,621 : x
  2. Step 2: Convert to fraction form
    28,824/43,621 = 43,621/x
  3. Step 3: Cross multiply
    28,824x = 43,621 × 43,621
  4. Step 4: Simplify right side
    28,824x = 1,902,791,641
  5. Step 5: Solve for x
    x = 1,902,791,641/28,824
  6. Step 6: Final answer
    x = 66,014.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.