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Finding the Third Proportional to 2,076 and 2,971

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Solution

The third proportional to 2,076 and 2,971 is: 4,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076 : 2,971 = 2,971 : x
  2. Step 2: Convert to fraction form
    2,076/2,971 = 2,971/x
  3. Step 3: Cross multiply
    2,076x = 2,971 × 2,971
  4. Step 4: Simplify right side
    2,076x = 8,826,841
  5. Step 5: Solve for x
    x = 8,826,841/2,076
  6. Step 6: Final answer
    x = 4,251.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.