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Finding the Third Proportional to 11,586 and 23,712

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Solution

The third proportional to 11,586 and 23,712 is: 48,529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 23,712 = 23,712 : x
  2. Step 2: Convert to fraction form
    11,586/23,712 = 23,712/x
  3. Step 3: Cross multiply
    11,586x = 23,712 × 23,712
  4. Step 4: Simplify right side
    11,586x = 562,258,944
  5. Step 5: Solve for x
    x = 562,258,944/11,586
  6. Step 6: Final answer
    x = 48,529.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.