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Finding the Third Proportional to 21,621 and 46,577

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Solution

The third proportional to 21,621 and 46,577 is: 100,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621 : 46,577 = 46,577 : x
  2. Step 2: Convert to fraction form
    21,621/46,577 = 46,577/x
  3. Step 3: Cross multiply
    21,621x = 46,577 × 46,577
  4. Step 4: Simplify right side
    21,621x = 2,169,416,929
  5. Step 5: Solve for x
    x = 2,169,416,929/21,621
  6. Step 6: Final answer
    x = 100,338.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.