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Finding the Third Proportional to 21,404 and 46,102

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Solution

The third proportional to 21,404 and 46,102 is: 99,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,404 : 46,102 = 46,102 : x
  2. Step 2: Convert to fraction form
    21,404/46,102 = 46,102/x
  3. Step 3: Cross multiply
    21,404x = 46,102 × 46,102
  4. Step 4: Simplify right side
    21,404x = 2,125,394,404
  5. Step 5: Solve for x
    x = 2,125,394,404/21,404
  6. Step 6: Final answer
    x = 99,298.93

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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.