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Finding the Third Proportional to 8,208.75 and 19,270.88

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Solution

The third proportional to 8,208.75 and 19,270.88 is: 45,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.75 : 19,270.88 = 19,270.88 : x
  2. Step 2: Convert to fraction form
    8,208.75/19,270.88 = 19,270.88/x
  3. Step 3: Cross multiply
    8,208.75x = 19,270.88 × 19,270.88
  4. Step 4: Simplify right side
    8,208.75x = 371,366,623.27
  5. Step 5: Solve for x
    x = 371,366,623.27/8,208.75
  6. Step 6: Final answer
    x = 45,240.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.