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Finding the Third Proportional to 1,264 and 3,412

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Solution

The third proportional to 1,264 and 3,412 is: 9,210.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264 : 3,412 = 3,412 : x
  2. Step 2: Convert to fraction form
    1,264/3,412 = 3,412/x
  3. Step 3: Cross multiply
    1,264x = 3,412 × 3,412
  4. Step 4: Simplify right side
    1,264x = 11,641,744
  5. Step 5: Solve for x
    x = 11,641,744/1,264
  6. Step 6: Final answer
    x = 9,210.24

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.