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Finding the Third Proportional to 11,780 and 16,508

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Solution

The third proportional to 11,780 and 16,508 is: 23,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780 : 16,508 = 16,508 : x
  2. Step 2: Convert to fraction form
    11,780/16,508 = 16,508/x
  3. Step 3: Cross multiply
    11,780x = 16,508 × 16,508
  4. Step 4: Simplify right side
    11,780x = 272,514,064
  5. Step 5: Solve for x
    x = 272,514,064/11,780
  6. Step 6: Final answer
    x = 23,133.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.