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Finding the Third Proportional to 11,790 and 25,767

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Solution

The third proportional to 11,790 and 25,767 is: 56,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790 : 25,767 = 25,767 : x
  2. Step 2: Convert to fraction form
    11,790/25,767 = 25,767/x
  3. Step 3: Cross multiply
    11,790x = 25,767 × 25,767
  4. Step 4: Simplify right side
    11,790x = 663,938,289
  5. Step 5: Solve for x
    x = 663,938,289/11,790
  6. Step 6: Final answer
    x = 56,313.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.