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Finding the Third Proportional to 21,047 and 46,245

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Solution

The third proportional to 21,047 and 46,245 is: 101,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047 : 46,245 = 46,245 : x
  2. Step 2: Convert to fraction form
    21,047/46,245 = 46,245/x
  3. Step 3: Cross multiply
    21,047x = 46,245 × 46,245
  4. Step 4: Simplify right side
    21,047x = 2,138,600,025
  5. Step 5: Solve for x
    x = 2,138,600,025/21,047
  6. Step 6: Final answer
    x = 101,610.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.