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Finding the Third Proportional to 4,237.31 and 8,594.23

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Solution

The third proportional to 4,237.31 and 8,594.23 is: 17,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.31 : 8,594.23 = 8,594.23 : x
  2. Step 2: Convert to fraction form
    4,237.31/8,594.23 = 8,594.23/x
  3. Step 3: Cross multiply
    4,237.31x = 8,594.23 × 8,594.23
  4. Step 4: Simplify right side
    4,237.31x = 73,860,730.21
  5. Step 5: Solve for x
    x = 73,860,730.21/4,237.31
  6. Step 6: Final answer
    x = 17,431.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.