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Finding the Third Proportional to 26,259 and 40,361

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Solution

The third proportional to 26,259 and 40,361 is: 62,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,259 : 40,361 = 40,361 : x
  2. Step 2: Convert to fraction form
    26,259/40,361 = 40,361/x
  3. Step 3: Cross multiply
    26,259x = 40,361 × 40,361
  4. Step 4: Simplify right side
    26,259x = 1,629,010,321
  5. Step 5: Solve for x
    x = 1,629,010,321/26,259
  6. Step 6: Final answer
    x = 62,036.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.