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Finding the Third Proportional to 11,586 and 24,148

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Solution

The third proportional to 11,586 and 24,148 is: 50,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 24,148 = 24,148 : x
  2. Step 2: Convert to fraction form
    11,586/24,148 = 24,148/x
  3. Step 3: Cross multiply
    11,586x = 24,148 × 24,148
  4. Step 4: Simplify right side
    11,586x = 583,125,904
  5. Step 5: Solve for x
    x = 583,125,904/11,586
  6. Step 6: Final answer
    x = 50,330.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.