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Finding the Third Proportional to 2,692.14 and 5,915.21

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Solution

The third proportional to 2,692.14 and 5,915.21 is: 12,997.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.14 : 5,915.21 = 5,915.21 : x
  2. Step 2: Convert to fraction form
    2,692.14/5,915.21 = 5,915.21/x
  3. Step 3: Cross multiply
    2,692.14x = 5,915.21 × 5,915.21
  4. Step 4: Simplify right side
    2,692.14x = 34,989,766.65
  5. Step 5: Solve for x
    x = 34,989,766.65/2,692.14
  6. Step 6: Final answer
    x = 12,997.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.