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Finding the Third Proportional to 7,697.06 and 16,622.06

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Solution

The third proportional to 7,697.06 and 16,622.06 is: 35,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.06 : 16,622.06 = 16,622.06 : x
  2. Step 2: Convert to fraction form
    7,697.06/16,622.06 = 16,622.06/x
  3. Step 3: Cross multiply
    7,697.06x = 16,622.06 × 16,622.06
  4. Step 4: Simplify right side
    7,697.06x = 276,292,961.75
  5. Step 5: Solve for x
    x = 276,292,961.75/7,697.06
  6. Step 6: Final answer
    x = 35,895.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.