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Finding the Third Proportional to 3,951 and 6,158.25

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Solution

The third proportional to 3,951 and 6,158.25 is: 9,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951 : 6,158.25 = 6,158.25 : x
  2. Step 2: Convert to fraction form
    3,951/6,158.25 = 6,158.25/x
  3. Step 3: Cross multiply
    3,951x = 6,158.25 × 6,158.25
  4. Step 4: Simplify right side
    3,951x = 37,924,043.06
  5. Step 5: Solve for x
    x = 37,924,043.06/3,951
  6. Step 6: Final answer
    x = 9,598.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.