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Finding the Third Proportional to 21,194 and 45,201

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Solution

The third proportional to 21,194 and 45,201 is: 96,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 45,201 = 45,201 : x
  2. Step 2: Convert to fraction form
    21,194/45,201 = 45,201/x
  3. Step 3: Cross multiply
    21,194x = 45,201 × 45,201
  4. Step 4: Simplify right side
    21,194x = 2,043,130,401
  5. Step 5: Solve for x
    x = 2,043,130,401/21,194
  6. Step 6: Final answer
    x = 96,401.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.