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Finding the Third Proportional to 21,422 and 46,408

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Solution

The third proportional to 21,422 and 46,408 is: 100,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,422 : 46,408 = 46,408 : x
  2. Step 2: Convert to fraction form
    21,422/46,408 = 46,408/x
  3. Step 3: Cross multiply
    21,422x = 46,408 × 46,408
  4. Step 4: Simplify right side
    21,422x = 2,153,702,464
  5. Step 5: Solve for x
    x = 2,153,702,464/21,422
  6. Step 6: Final answer
    x = 100,536.95

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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.