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Finding the Third Proportional to 2,576 and 2,840

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Solution

The third proportional to 2,576 and 2,840 is: 3,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 2,840 = 2,840 : x
  2. Step 2: Convert to fraction form
    2,576/2,840 = 2,840/x
  3. Step 3: Cross multiply
    2,576x = 2,840 × 2,840
  4. Step 4: Simplify right side
    2,576x = 8,065,600
  5. Step 5: Solve for x
    x = 8,065,600/2,576
  6. Step 6: Final answer
    x = 3,131.06

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.