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Finding the Third Proportional to 23,698 and 51,090

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Solution

The third proportional to 23,698 and 51,090 is: 110,143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698 : 51,090 = 51,090 : x
  2. Step 2: Convert to fraction form
    23,698/51,090 = 51,090/x
  3. Step 3: Cross multiply
    23,698x = 51,090 × 51,090
  4. Step 4: Simplify right side
    23,698x = 2,610,188,100
  5. Step 5: Solve for x
    x = 2,610,188,100/23,698
  6. Step 6: Final answer
    x = 110,143.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.