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Finding the Third Proportional to 11,774 and 25,169

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Solution

The third proportional to 11,774 and 25,169 is: 53,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 25,169 = 25,169 : x
  2. Step 2: Convert to fraction form
    11,774/25,169 = 25,169/x
  3. Step 3: Cross multiply
    11,774x = 25,169 × 25,169
  4. Step 4: Simplify right side
    11,774x = 633,478,561
  5. Step 5: Solve for x
    x = 633,478,561/11,774
  6. Step 6: Final answer
    x = 53,803.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.