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Finding the Third Proportional to 6,596.25 and 15,762.75

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Solution

The third proportional to 6,596.25 and 15,762.75 is: 37,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.25 : 15,762.75 = 15,762.75 : x
  2. Step 2: Convert to fraction form
    6,596.25/15,762.75 = 15,762.75/x
  3. Step 3: Cross multiply
    6,596.25x = 15,762.75 × 15,762.75
  4. Step 4: Simplify right side
    6,596.25x = 248,464,287.56
  5. Step 5: Solve for x
    x = 248,464,287.56/6,596.25
  6. Step 6: Final answer
    x = 37,667.51

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.