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Finding the Third Proportional to 9,206.16 and 13,793.63

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Solution

The third proportional to 9,206.16 and 13,793.63 is: 20,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.16 : 13,793.63 = 13,793.63 : x
  2. Step 2: Convert to fraction form
    9,206.16/13,793.63 = 13,793.63/x
  3. Step 3: Cross multiply
    9,206.16x = 13,793.63 × 13,793.63
  4. Step 4: Simplify right side
    9,206.16x = 190,264,090.64
  5. Step 5: Solve for x
    x = 190,264,090.64/9,206.16
  6. Step 6: Final answer
    x = 20,667.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.