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Finding the Third Proportional to 2,974.50 and 6,291

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Solution

The third proportional to 2,974.50 and 6,291 is: 13,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.50 : 6,291 = 6,291 : x
  2. Step 2: Convert to fraction form
    2,974.50/6,291 = 6,291/x
  3. Step 3: Cross multiply
    2,974.50x = 6,291 × 6,291
  4. Step 4: Simplify right side
    2,974.50x = 39,576,681
  5. Step 5: Solve for x
    x = 39,576,681/2,974.50
  6. Step 6: Final answer
    x = 13,305.32

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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.