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Finding the Third Proportional to 13,539 and 21,004.50

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Solution

The third proportional to 13,539 and 21,004.50 is: 32,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,539 : 21,004.50 = 21,004.50 : x
  2. Step 2: Convert to fraction form
    13,539/21,004.50 = 21,004.50/x
  3. Step 3: Cross multiply
    13,539x = 21,004.50 × 21,004.50
  4. Step 4: Simplify right side
    13,539x = 441,189,020.25
  5. Step 5: Solve for x
    x = 441,189,020.25/13,539
  6. Step 6: Final answer
    x = 32,586.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.