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Finding the Third Proportional to 5,735 and 12,577

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Solution

The third proportional to 5,735 and 12,577 is: 27,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735 : 12,577 = 12,577 : x
  2. Step 2: Convert to fraction form
    5,735/12,577 = 12,577/x
  3. Step 3: Cross multiply
    5,735x = 12,577 × 12,577
  4. Step 4: Simplify right side
    5,735x = 158,180,929
  5. Step 5: Solve for x
    x = 158,180,929/5,735
  6. Step 6: Final answer
    x = 27,581.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.