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Finding the Third Proportional to 23,656 and 51,208

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Solution

The third proportional to 23,656 and 51,208 is: 110,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656 : 51,208 = 51,208 : x
  2. Step 2: Convert to fraction form
    23,656/51,208 = 51,208/x
  3. Step 3: Cross multiply
    23,656x = 51,208 × 51,208
  4. Step 4: Simplify right side
    23,656x = 2,622,259,264
  5. Step 5: Solve for x
    x = 2,622,259,264/23,656
  6. Step 6: Final answer
    x = 110,849.65

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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.