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Finding the Third Proportional to 3,281 and 7,174

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Solution

The third proportional to 3,281 and 7,174 is: 15,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281 : 7,174 = 7,174 : x
  2. Step 2: Convert to fraction form
    3,281/7,174 = 7,174/x
  3. Step 3: Cross multiply
    3,281x = 7,174 × 7,174
  4. Step 4: Simplify right side
    3,281x = 51,466,276
  5. Step 5: Solve for x
    x = 51,466,276/3,281
  6. Step 6: Final answer
    x = 15,686.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.