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Finding the Third Proportional to 5,827.88 and 9,090.75

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Solution

The third proportional to 5,827.88 and 9,090.75 is: 14,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.88 : 9,090.75 = 9,090.75 : x
  2. Step 2: Convert to fraction form
    5,827.88/9,090.75 = 9,090.75/x
  3. Step 3: Cross multiply
    5,827.88x = 9,090.75 × 9,090.75
  4. Step 4: Simplify right side
    5,827.88x = 82,641,735.56
  5. Step 5: Solve for x
    x = 82,641,735.56/5,827.88
  6. Step 6: Final answer
    x = 14,180.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.