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Finding the Third Proportional to 3,999.94 and 5,594.63

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Solution

The third proportional to 3,999.94 and 5,594.63 is: 7,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.94 : 5,594.63 = 5,594.63 : x
  2. Step 2: Convert to fraction form
    3,999.94/5,594.63 = 5,594.63/x
  3. Step 3: Cross multiply
    3,999.94x = 5,594.63 × 5,594.63
  4. Step 4: Simplify right side
    3,999.94x = 31,299,828.89
  5. Step 5: Solve for x
    x = 31,299,828.89/3,999.94
  6. Step 6: Final answer
    x = 7,825.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.