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Finding the Third Proportional to 23,629 and 51,138

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Solution

The third proportional to 23,629 and 51,138 is: 110,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629 : 51,138 = 51,138 : x
  2. Step 2: Convert to fraction form
    23,629/51,138 = 51,138/x
  3. Step 3: Cross multiply
    23,629x = 51,138 × 51,138
  4. Step 4: Simplify right side
    23,629x = 2,615,095,044
  5. Step 5: Solve for x
    x = 2,615,095,044/23,629
  6. Step 6: Final answer
    x = 110,673.12

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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.