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Finding the Third Proportional to 14,677 and 27,407

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Solution

The third proportional to 14,677 and 27,407 is: 51,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677 : 27,407 = 27,407 : x
  2. Step 2: Convert to fraction form
    14,677/27,407 = 27,407/x
  3. Step 3: Cross multiply
    14,677x = 27,407 × 27,407
  4. Step 4: Simplify right side
    14,677x = 751,143,649
  5. Step 5: Solve for x
    x = 751,143,649/14,677
  6. Step 6: Final answer
    x = 51,178.28

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.