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Finding the Third Proportional to 4,758.75 and 11,120.63

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Solution

The third proportional to 4,758.75 and 11,120.63 is: 25,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.75 : 11,120.63 = 11,120.63 : x
  2. Step 2: Convert to fraction form
    4,758.75/11,120.63 = 11,120.63/x
  3. Step 3: Cross multiply
    4,758.75x = 11,120.63 × 11,120.63
  4. Step 4: Simplify right side
    4,758.75x = 123,668,300.39
  5. Step 5: Solve for x
    x = 123,668,300.39/4,758.75
  6. Step 6: Final answer
    x = 25,987.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.