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Finding the Third Proportional to 17,728.13 and 26,241.75

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Solution

The third proportional to 17,728.13 and 26,241.75 is: 38,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.13 : 26,241.75 = 26,241.75 : x
  2. Step 2: Convert to fraction form
    17,728.13/26,241.75 = 26,241.75/x
  3. Step 3: Cross multiply
    17,728.13x = 26,241.75 × 26,241.75
  4. Step 4: Simplify right side
    17,728.13x = 688,629,443.06
  5. Step 5: Solve for x
    x = 688,629,443.06/17,728.13
  6. Step 6: Final answer
    x = 38,843.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.