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Finding the Third Proportional to 11,776 and 16,564

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Solution

The third proportional to 11,776 and 16,564 is: 23,298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776 : 16,564 = 16,564 : x
  2. Step 2: Convert to fraction form
    11,776/16,564 = 16,564/x
  3. Step 3: Cross multiply
    11,776x = 16,564 × 16,564
  4. Step 4: Simplify right side
    11,776x = 274,366,096
  5. Step 5: Solve for x
    x = 274,366,096/11,776
  6. Step 6: Final answer
    x = 23,298.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.