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Finding the Third Proportional to 25,026 and 54,918

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Solution

The third proportional to 25,026 and 54,918 is: 120,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,026 : 54,918 = 54,918 : x
  2. Step 2: Convert to fraction form
    25,026/54,918 = 54,918/x
  3. Step 3: Cross multiply
    25,026x = 54,918 × 54,918
  4. Step 4: Simplify right side
    25,026x = 3,015,986,724
  5. Step 5: Solve for x
    x = 3,015,986,724/25,026
  6. Step 6: Final answer
    x = 120,514.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.