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Finding the Third Proportional to 1,263 and 2,967

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Solution

The third proportional to 1,263 and 2,967 is: 6,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263 : 2,967 = 2,967 : x
  2. Step 2: Convert to fraction form
    1,263/2,967 = 2,967/x
  3. Step 3: Cross multiply
    1,263x = 2,967 × 2,967
  4. Step 4: Simplify right side
    1,263x = 8,803,089
  5. Step 5: Solve for x
    x = 8,803,089/1,263
  6. Step 6: Final answer
    x = 6,969.98

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.