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Finding the Third Proportional to 3,610.83 and 7,720.95

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Solution

The third proportional to 3,610.83 and 7,720.95 is: 16,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.83 : 7,720.95 = 7,720.95 : x
  2. Step 2: Convert to fraction form
    3,610.83/7,720.95 = 7,720.95/x
  3. Step 3: Cross multiply
    3,610.83x = 7,720.95 × 7,720.95
  4. Step 4: Simplify right side
    3,610.83x = 59,612,996.52
  5. Step 5: Solve for x
    x = 59,612,996.52/3,610.83
  6. Step 6: Final answer
    x = 16,509.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.