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Finding the Third Proportional to 4,405 and 9,515

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Solution

The third proportional to 4,405 and 9,515 is: 20,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,405 : 9,515 = 9,515 : x
  2. Step 2: Convert to fraction form
    4,405/9,515 = 9,515/x
  3. Step 3: Cross multiply
    4,405x = 9,515 × 9,515
  4. Step 4: Simplify right side
    4,405x = 90,535,225
  5. Step 5: Solve for x
    x = 90,535,225/4,405
  6. Step 6: Final answer
    x = 20,552.83

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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.