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Finding the Third Proportional to 2,991 and 6,312

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Solution

The third proportional to 2,991 and 6,312 is: 13,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991 : 6,312 = 6,312 : x
  2. Step 2: Convert to fraction form
    2,991/6,312 = 6,312/x
  3. Step 3: Cross multiply
    2,991x = 6,312 × 6,312
  4. Step 4: Simplify right side
    2,991x = 39,841,344
  5. Step 5: Solve for x
    x = 39,841,344/2,991
  6. Step 6: Final answer
    x = 13,320.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.