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Finding the Third Proportional to 11,695 and 25,273

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Solution

The third proportional to 11,695 and 25,273 is: 54,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695 : 25,273 = 25,273 : x
  2. Step 2: Convert to fraction form
    11,695/25,273 = 25,273/x
  3. Step 3: Cross multiply
    11,695x = 25,273 × 25,273
  4. Step 4: Simplify right side
    11,695x = 638,724,529
  5. Step 5: Solve for x
    x = 638,724,529/11,695
  6. Step 6: Final answer
    x = 54,615.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.