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Finding the Third Proportional to 5,448.25 and 7,672.25

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Solution

The third proportional to 5,448.25 and 7,672.25 is: 10,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.25 : 7,672.25 = 7,672.25 : x
  2. Step 2: Convert to fraction form
    5,448.25/7,672.25 = 7,672.25/x
  3. Step 3: Cross multiply
    5,448.25x = 7,672.25 × 7,672.25
  4. Step 4: Simplify right side
    5,448.25x = 58,863,420.06
  5. Step 5: Solve for x
    x = 58,863,420.06/5,448.25
  6. Step 6: Final answer
    x = 10,804.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.