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Finding the Third Proportional to 2,565 and 6,372

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Solution

The third proportional to 2,565 and 6,372 is: 15,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565 : 6,372 = 6,372 : x
  2. Step 2: Convert to fraction form
    2,565/6,372 = 6,372/x
  3. Step 3: Cross multiply
    2,565x = 6,372 × 6,372
  4. Step 4: Simplify right side
    2,565x = 40,602,384
  5. Step 5: Solve for x
    x = 40,602,384/2,565
  6. Step 6: Final answer
    x = 15,829.39

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.