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Finding the Third Proportional to 2,974.50 and 6,525

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Solution

The third proportional to 2,974.50 and 6,525 is: 14,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.50 : 6,525 = 6,525 : x
  2. Step 2: Convert to fraction form
    2,974.50/6,525 = 6,525/x
  3. Step 3: Cross multiply
    2,974.50x = 6,525 × 6,525
  4. Step 4: Simplify right side
    2,974.50x = 42,575,625
  5. Step 5: Solve for x
    x = 42,575,625/2,974.50
  6. Step 6: Final answer
    x = 14,313.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.