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Finding the Third Proportional to 2,577 and 6,964.50

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Solution

The third proportional to 2,577 and 6,964.50 is: 18,821.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577 : 6,964.50 = 6,964.50 : x
  2. Step 2: Convert to fraction form
    2,577/6,964.50 = 6,964.50/x
  3. Step 3: Cross multiply
    2,577x = 6,964.50 × 6,964.50
  4. Step 4: Simplify right side
    2,577x = 48,504,260.25
  5. Step 5: Solve for x
    x = 48,504,260.25/2,577
  6. Step 6: Final answer
    x = 18,821.99

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.