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Finding the Third Proportional to 13,290 and 20,400.75

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Solution

The third proportional to 13,290 and 20,400.75 is: 31,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290 : 20,400.75 = 20,400.75 : x
  2. Step 2: Convert to fraction form
    13,290/20,400.75 = 20,400.75/x
  3. Step 3: Cross multiply
    13,290x = 20,400.75 × 20,400.75
  4. Step 4: Simplify right side
    13,290x = 416,190,600.56
  5. Step 5: Solve for x
    x = 416,190,600.56/13,290
  6. Step 6: Final answer
    x = 31,316.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.