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Finding the Third Proportional to 11,539 and 16,327.50

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Solution

The third proportional to 11,539 and 16,327.50 is: 23,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539 : 16,327.50 = 16,327.50 : x
  2. Step 2: Convert to fraction form
    11,539/16,327.50 = 16,327.50/x
  3. Step 3: Cross multiply
    11,539x = 16,327.50 × 16,327.50
  4. Step 4: Simplify right side
    11,539x = 266,587,256.25
  5. Step 5: Solve for x
    x = 266,587,256.25/11,539
  6. Step 6: Final answer
    x = 23,103.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.