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Finding the Third Proportional to 7,407 and 11,466

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Solution

The third proportional to 7,407 and 11,466 is: 17,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407 : 11,466 = 11,466 : x
  2. Step 2: Convert to fraction form
    7,407/11,466 = 11,466/x
  3. Step 3: Cross multiply
    7,407x = 11,466 × 11,466
  4. Step 4: Simplify right side
    7,407x = 131,469,156
  5. Step 5: Solve for x
    x = 131,469,156/7,407
  6. Step 6: Final answer
    x = 17,749.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.