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Finding the Third Proportional to 21,340 and 46,462

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Solution

The third proportional to 21,340 and 46,462 is: 101,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340 : 46,462 = 46,462 : x
  2. Step 2: Convert to fraction form
    21,340/46,462 = 46,462/x
  3. Step 3: Cross multiply
    21,340x = 46,462 × 46,462
  4. Step 4: Simplify right side
    21,340x = 2,158,717,444
  5. Step 5: Solve for x
    x = 2,158,717,444/21,340
  6. Step 6: Final answer
    x = 101,158.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.