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Finding the Third Proportional to 7,996.22 and 17,015.06

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Solution

The third proportional to 7,996.22 and 17,015.06 is: 36,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.22 : 17,015.06 = 17,015.06 : x
  2. Step 2: Convert to fraction form
    7,996.22/17,015.06 = 17,015.06/x
  3. Step 3: Cross multiply
    7,996.22x = 17,015.06 × 17,015.06
  4. Step 4: Simplify right side
    7,996.22x = 289,512,351.88
  5. Step 5: Solve for x
    x = 289,512,351.88/7,996.22
  6. Step 6: Final answer
    x = 36,206.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.