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Finding the Third Proportional to 4,172.38 and 6,458.25

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Solution

The third proportional to 4,172.38 and 6,458.25 is: 9,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.38 : 6,458.25 = 6,458.25 : x
  2. Step 2: Convert to fraction form
    4,172.38/6,458.25 = 6,458.25/x
  3. Step 3: Cross multiply
    4,172.38x = 6,458.25 × 6,458.25
  4. Step 4: Simplify right side
    4,172.38x = 41,708,993.06
  5. Step 5: Solve for x
    x = 41,708,993.06/4,172.38
  6. Step 6: Final answer
    x = 9,996.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.