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Finding the Third Proportional to 12,205.13 and 17,844.75

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Solution

The third proportional to 12,205.13 and 17,844.75 is: 26,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.13 : 17,844.75 = 17,844.75 : x
  2. Step 2: Convert to fraction form
    12,205.13/17,844.75 = 17,844.75/x
  3. Step 3: Cross multiply
    12,205.13x = 17,844.75 × 17,844.75
  4. Step 4: Simplify right side
    12,205.13x = 318,435,102.56
  5. Step 5: Solve for x
    x = 318,435,102.56/12,205.13
  6. Step 6: Final answer
    x = 26,090.28

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1.5x scale

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.