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Finding the Third Proportional to 3,172 and 3,460

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Solution

The third proportional to 3,172 and 3,460 is: 3,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172 : 3,460 = 3,460 : x
  2. Step 2: Convert to fraction form
    3,172/3,460 = 3,460/x
  3. Step 3: Cross multiply
    3,172x = 3,460 × 3,460
  4. Step 4: Simplify right side
    3,172x = 11,971,600
  5. Step 5: Solve for x
    x = 11,971,600/3,172
  6. Step 6: Final answer
    x = 3,774.15

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.