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Finding the Third Proportional to 1,575 and 2,379

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Solution

The third proportional to 1,575 and 2,379 is: 3,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575 : 2,379 = 2,379 : x
  2. Step 2: Convert to fraction form
    1,575/2,379 = 2,379/x
  3. Step 3: Cross multiply
    1,575x = 2,379 × 2,379
  4. Step 4: Simplify right side
    1,575x = 5,659,641
  5. Step 5: Solve for x
    x = 5,659,641/1,575
  6. Step 6: Final answer
    x = 3,593.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.