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Finding the Third Proportional to 13,275 and 19,399.50

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Solution

The third proportional to 13,275 and 19,399.50 is: 28,349.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 19,399.50 = 19,399.50 : x
  2. Step 2: Convert to fraction form
    13,275/19,399.50 = 19,399.50/x
  3. Step 3: Cross multiply
    13,275x = 19,399.50 × 19,399.50
  4. Step 4: Simplify right side
    13,275x = 376,340,600.25
  5. Step 5: Solve for x
    x = 376,340,600.25/13,275
  6. Step 6: Final answer
    x = 28,349.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.