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Finding the Third Proportional to 7,544 and 18,308

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Solution

The third proportional to 7,544 and 18,308 is: 44,430.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 18,308 = 18,308 : x
  2. Step 2: Convert to fraction form
    7,544/18,308 = 18,308/x
  3. Step 3: Cross multiply
    7,544x = 18,308 × 18,308
  4. Step 4: Simplify right side
    7,544x = 335,182,864
  5. Step 5: Solve for x
    x = 335,182,864/7,544
  6. Step 6: Final answer
    x = 44,430.39

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.