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Finding the Third Proportional to 3,773.86 and 5,762.23

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Solution

The third proportional to 3,773.86 and 5,762.23 is: 8,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.86 : 5,762.23 = 5,762.23 : x
  2. Step 2: Convert to fraction form
    3,773.86/5,762.23 = 5,762.23/x
  3. Step 3: Cross multiply
    3,773.86x = 5,762.23 × 5,762.23
  4. Step 4: Simplify right side
    3,773.86x = 33,203,322.48
  5. Step 5: Solve for x
    x = 33,203,322.48/3,773.86
  6. Step 6: Final answer
    x = 8,798.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.