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Finding the Third Proportional to 7,746 and 11,436

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Solution

The third proportional to 7,746 and 11,436 is: 16,883.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746 : 11,436 = 11,436 : x
  2. Step 2: Convert to fraction form
    7,746/11,436 = 11,436/x
  3. Step 3: Cross multiply
    7,746x = 11,436 × 11,436
  4. Step 4: Simplify right side
    7,746x = 130,782,096
  5. Step 5: Solve for x
    x = 130,782,096/7,746
  6. Step 6: Final answer
    x = 16,883.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.