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Finding the Third Proportional to 4,157.58 and 9,083.39

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Solution

The third proportional to 4,157.58 and 9,083.39 is: 19,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.58 : 9,083.39 = 9,083.39 : x
  2. Step 2: Convert to fraction form
    4,157.58/9,083.39 = 9,083.39/x
  3. Step 3: Cross multiply
    4,157.58x = 9,083.39 × 9,083.39
  4. Step 4: Simplify right side
    4,157.58x = 82,507,985.25
  5. Step 5: Solve for x
    x = 82,507,985.25/4,157.58
  6. Step 6: Final answer
    x = 19,845.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.