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Finding the Third Proportional to 1,456 and 2,372

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Solution

The third proportional to 1,456 and 2,372 is: 3,864.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456 : 2,372 = 2,372 : x
  2. Step 2: Convert to fraction form
    1,456/2,372 = 2,372/x
  3. Step 3: Cross multiply
    1,456x = 2,372 × 2,372
  4. Step 4: Simplify right side
    1,456x = 5,626,384
  5. Step 5: Solve for x
    x = 5,626,384/1,456
  6. Step 6: Final answer
    x = 3,864.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.