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Finding the Third Proportional to 3,690.56 and 7,619.06

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Solution

The third proportional to 3,690.56 and 7,619.06 is: 15,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.56 : 7,619.06 = 7,619.06 : x
  2. Step 2: Convert to fraction form
    3,690.56/7,619.06 = 7,619.06/x
  3. Step 3: Cross multiply
    3,690.56x = 7,619.06 × 7,619.06
  4. Step 4: Simplify right side
    3,690.56x = 58,050,113.38
  5. Step 5: Solve for x
    x = 58,050,113.38/3,690.56
  6. Step 6: Final answer
    x = 15,729.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.