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Finding the Third Proportional to 5,745 and 12,407

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Solution

The third proportional to 5,745 and 12,407 is: 26,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745 : 12,407 = 12,407 : x
  2. Step 2: Convert to fraction form
    5,745/12,407 = 12,407/x
  3. Step 3: Cross multiply
    5,745x = 12,407 × 12,407
  4. Step 4: Simplify right side
    5,745x = 153,933,649
  5. Step 5: Solve for x
    x = 153,933,649/5,745
  6. Step 6: Final answer
    x = 26,794.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.