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Finding the Third Proportional to 11,772 and 25,731

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Solution

The third proportional to 11,772 and 25,731 is: 56,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 25,731 = 25,731 : x
  2. Step 2: Convert to fraction form
    11,772/25,731 = 25,731/x
  3. Step 3: Cross multiply
    11,772x = 25,731 × 25,731
  4. Step 4: Simplify right side
    11,772x = 662,084,361
  5. Step 5: Solve for x
    x = 662,084,361/11,772
  6. Step 6: Final answer
    x = 56,242.30

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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.