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Finding the Third Proportional to 4,009.25 and 5,971

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Solution

The third proportional to 4,009.25 and 5,971 is: 8,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.25 : 5,971 = 5,971 : x
  2. Step 2: Convert to fraction form
    4,009.25/5,971 = 5,971/x
  3. Step 3: Cross multiply
    4,009.25x = 5,971 × 5,971
  4. Step 4: Simplify right side
    4,009.25x = 35,652,841
  5. Step 5: Solve for x
    x = 35,652,841/4,009.25
  6. Step 6: Final answer
    x = 8,892.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.