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Finding the Third Proportional to 13,194 and 20,403.50

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Solution

The third proportional to 13,194 and 20,403.50 is: 31,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 20,403.50 = 20,403.50 : x
  2. Step 2: Convert to fraction form
    13,194/20,403.50 = 20,403.50/x
  3. Step 3: Cross multiply
    13,194x = 20,403.50 × 20,403.50
  4. Step 4: Simplify right side
    13,194x = 416,302,812.25
  5. Step 5: Solve for x
    x = 416,302,812.25/13,194
  6. Step 6: Final answer
    x = 31,552.43

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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.