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Finding the Third Proportional to 21,451 and 46,595

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Solution

The third proportional to 21,451 and 46,595 is: 101,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451 : 46,595 = 46,595 : x
  2. Step 2: Convert to fraction form
    21,451/46,595 = 46,595/x
  3. Step 3: Cross multiply
    21,451x = 46,595 × 46,595
  4. Step 4: Simplify right side
    21,451x = 2,171,094,025
  5. Step 5: Solve for x
    x = 2,171,094,025/21,451
  6. Step 6: Final answer
    x = 101,211.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.