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Finding the Third Proportional to 16,596 and 27,019.50

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Solution

The third proportional to 16,596 and 27,019.50 is: 43,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596 : 27,019.50 = 27,019.50 : x
  2. Step 2: Convert to fraction form
    16,596/27,019.50 = 27,019.50/x
  3. Step 3: Cross multiply
    16,596x = 27,019.50 × 27,019.50
  4. Step 4: Simplify right side
    16,596x = 730,053,380.25
  5. Step 5: Solve for x
    x = 730,053,380.25/16,596
  6. Step 6: Final answer
    x = 43,989.72

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.