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Finding the Third Proportional to 12,577 and 27,457

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Solution

The third proportional to 12,577 and 27,457 is: 59,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577 : 27,457 = 27,457 : x
  2. Step 2: Convert to fraction form
    12,577/27,457 = 27,457/x
  3. Step 3: Cross multiply
    12,577x = 27,457 × 27,457
  4. Step 4: Simplify right side
    12,577x = 753,886,849
  5. Step 5: Solve for x
    x = 753,886,849/12,577
  6. Step 6: Final answer
    x = 59,941.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.