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Finding the Third Proportional to 21,165 and 45,245

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Solution

The third proportional to 21,165 and 45,245 is: 96,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165 : 45,245 = 45,245 : x
  2. Step 2: Convert to fraction form
    21,165/45,245 = 45,245/x
  3. Step 3: Cross multiply
    21,165x = 45,245 × 45,245
  4. Step 4: Simplify right side
    21,165x = 2,047,110,025
  5. Step 5: Solve for x
    x = 2,047,110,025/21,165
  6. Step 6: Final answer
    x = 96,721.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.