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Finding the Third Proportional to 6,174 and 13,476

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Solution

The third proportional to 6,174 and 13,476 is: 29,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 13,476 = 13,476 : x
  2. Step 2: Convert to fraction form
    6,174/13,476 = 13,476/x
  3. Step 3: Cross multiply
    6,174x = 13,476 × 13,476
  4. Step 4: Simplify right side
    6,174x = 181,602,576
  5. Step 5: Solve for x
    x = 181,602,576/6,174
  6. Step 6: Final answer
    x = 29,414.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.