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Finding the Third Proportional to 15,544 and 25,024

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Solution

The third proportional to 15,544 and 25,024 is: 40,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,544 : 25,024 = 25,024 : x
  2. Step 2: Convert to fraction form
    15,544/25,024 = 25,024/x
  3. Step 3: Cross multiply
    15,544x = 25,024 × 25,024
  4. Step 4: Simplify right side
    15,544x = 626,200,576
  5. Step 5: Solve for x
    x = 626,200,576/15,544
  6. Step 6: Final answer
    x = 40,285.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.