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Finding the Third Proportional to 13,818 and 19,221.75

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Solution

The third proportional to 13,818 and 19,221.75 is: 26,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818 : 19,221.75 = 19,221.75 : x
  2. Step 2: Convert to fraction form
    13,818/19,221.75 = 19,221.75/x
  3. Step 3: Cross multiply
    13,818x = 19,221.75 × 19,221.75
  4. Step 4: Simplify right side
    13,818x = 369,475,673.06
  5. Step 5: Solve for x
    x = 369,475,673.06/13,818
  6. Step 6: Final answer
    x = 26,738.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.