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Finding the Third Proportional to 4,185.56 and 6,332.34

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Solution

The third proportional to 4,185.56 and 6,332.34 is: 9,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.56 : 6,332.34 = 6,332.34 : x
  2. Step 2: Convert to fraction form
    4,185.56/6,332.34 = 6,332.34/x
  3. Step 3: Cross multiply
    4,185.56x = 6,332.34 × 6,332.34
  4. Step 4: Simplify right side
    4,185.56x = 40,098,577.37
  5. Step 5: Solve for x
    x = 40,098,577.37/4,185.56
  6. Step 6: Final answer
    x = 9,580.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.