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Finding the Third Proportional to 1,405.69 and 2,962.41

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Solution

The third proportional to 1,405.69 and 2,962.41 is: 6,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.69 : 2,962.41 = 2,962.41 : x
  2. Step 2: Convert to fraction form
    1,405.69/2,962.41 = 2,962.41/x
  3. Step 3: Cross multiply
    1,405.69x = 2,962.41 × 2,962.41
  4. Step 4: Simplify right side
    1,405.69x = 8,775,850.79
  5. Step 5: Solve for x
    x = 8,775,850.79/1,405.69
  6. Step 6: Final answer
    x = 6,243.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.