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Finding the Third Proportional to 11,315 and 23,663

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Solution

The third proportional to 11,315 and 23,663 is: 49,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315 : 23,663 = 23,663 : x
  2. Step 2: Convert to fraction form
    11,315/23,663 = 23,663/x
  3. Step 3: Cross multiply
    11,315x = 23,663 × 23,663
  4. Step 4: Simplify right side
    11,315x = 559,937,569
  5. Step 5: Solve for x
    x = 559,937,569/11,315
  6. Step 6: Final answer
    x = 49,486.31

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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.