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Finding the Third Proportional to 25,024 and 53,544

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Solution

The third proportional to 25,024 and 53,544 is: 114,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,024 : 53,544 = 53,544 : x
  2. Step 2: Convert to fraction form
    25,024/53,544 = 53,544/x
  3. Step 3: Cross multiply
    25,024x = 53,544 × 53,544
  4. Step 4: Simplify right side
    25,024x = 2,866,959,936
  5. Step 5: Solve for x
    x = 2,866,959,936/25,024
  6. Step 6: Final answer
    x = 114,568.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.