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Finding the Third Proportional to 2,576 and 6,143

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Solution

The third proportional to 2,576 and 6,143 is: 14,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576 : 6,143 = 6,143 : x
  2. Step 2: Convert to fraction form
    2,576/6,143 = 6,143/x
  3. Step 3: Cross multiply
    2,576x = 6,143 × 6,143
  4. Step 4: Simplify right side
    2,576x = 37,736,449
  5. Step 5: Solve for x
    x = 37,736,449/2,576
  6. Step 6: Final answer
    x = 14,649.24

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.