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Finding the Third Proportional to 7,549 and 17,762.75

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Solution

The third proportional to 7,549 and 17,762.75 is: 41,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549 : 17,762.75 = 17,762.75 : x
  2. Step 2: Convert to fraction form
    7,549/17,762.75 = 17,762.75/x
  3. Step 3: Cross multiply
    7,549x = 17,762.75 × 17,762.75
  4. Step 4: Simplify right side
    7,549x = 315,515,287.56
  5. Step 5: Solve for x
    x = 315,515,287.56/7,549
  6. Step 6: Final answer
    x = 41,795.64

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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.