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Finding the Third Proportional to 3,497.06 and 7,515.56

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Solution

The third proportional to 3,497.06 and 7,515.56 is: 16,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.06 : 7,515.56 = 7,515.56 : x
  2. Step 2: Convert to fraction form
    3,497.06/7,515.56 = 7,515.56/x
  3. Step 3: Cross multiply
    3,497.06x = 7,515.56 × 7,515.56
  4. Step 4: Simplify right side
    3,497.06x = 56,483,679.69
  5. Step 5: Solve for x
    x = 56,483,679.69/3,497.06
  6. Step 6: Final answer
    x = 16,151.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.