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Finding the Third Proportional to 2,602 and 2,971

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Solution

The third proportional to 2,602 and 2,971 is: 3,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602 : 2,971 = 2,971 : x
  2. Step 2: Convert to fraction form
    2,602/2,971 = 2,971/x
  3. Step 3: Cross multiply
    2,602x = 2,971 × 2,971
  4. Step 4: Simplify right side
    2,602x = 8,826,841
  5. Step 5: Solve for x
    x = 8,826,841/2,602
  6. Step 6: Final answer
    x = 3,392.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.