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Finding the Third Proportional to 4,539.38 and 8,609.63

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Solution

The third proportional to 4,539.38 and 8,609.63 is: 16,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.38 : 8,609.63 = 8,609.63 : x
  2. Step 2: Convert to fraction form
    4,539.38/8,609.63 = 8,609.63/x
  3. Step 3: Cross multiply
    4,539.38x = 8,609.63 × 8,609.63
  4. Step 4: Simplify right side
    4,539.38x = 74,125,642.64
  5. Step 5: Solve for x
    x = 74,125,642.64/4,539.38
  6. Step 6: Final answer
    x = 16,329.48

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.