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Finding the Third Proportional to 23,565 and 51,278

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Solution

The third proportional to 23,565 and 51,278 is: 111,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565 : 51,278 = 51,278 : x
  2. Step 2: Convert to fraction form
    23,565/51,278 = 51,278/x
  3. Step 3: Cross multiply
    23,565x = 51,278 × 51,278
  4. Step 4: Simplify right side
    23,565x = 2,629,433,284
  5. Step 5: Solve for x
    x = 2,629,433,284/23,565
  6. Step 6: Final answer
    x = 111,582.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.