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Finding the Third Proportional to 17,760 and 28,308

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Solution

The third proportional to 17,760 and 28,308 is: 45,120.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760 : 28,308 = 28,308 : x
  2. Step 2: Convert to fraction form
    17,760/28,308 = 28,308/x
  3. Step 3: Cross multiply
    17,760x = 28,308 × 28,308
  4. Step 4: Simplify right side
    17,760x = 801,342,864
  5. Step 5: Solve for x
    x = 801,342,864/17,760
  6. Step 6: Final answer
    x = 45,120.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.