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Finding the Third Proportional to 11,315.25 and 23,663.25

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Solution

The third proportional to 11,315.25 and 23,663.25 is: 49,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.25 : 23,663.25 = 23,663.25 : x
  2. Step 2: Convert to fraction form
    11,315.25/23,663.25 = 23,663.25/x
  3. Step 3: Cross multiply
    11,315.25x = 23,663.25 × 23,663.25
  4. Step 4: Simplify right side
    11,315.25x = 559,949,400.56
  5. Step 5: Solve for x
    x = 559,949,400.56/11,315.25
  6. Step 6: Final answer
    x = 49,486.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.