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Finding the Third Proportional to 3,608.30 and 7,820.30

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Solution

The third proportional to 3,608.30 and 7,820.30 is: 16,949.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.30 : 7,820.30 = 7,820.30 : x
  2. Step 2: Convert to fraction form
    3,608.30/7,820.30 = 7,820.30/x
  3. Step 3: Cross multiply
    3,608.30x = 7,820.30 × 7,820.30
  4. Step 4: Simplify right side
    3,608.30x = 61,157,043.21
  5. Step 5: Solve for x
    x = 61,157,043.21/3,608.30
  6. Step 6: Final answer
    x = 16,949.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.