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Finding the Third Proportional to 11,759 and 24,490

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Solution

The third proportional to 11,759 and 24,490 is: 51,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759 : 24,490 = 24,490 : x
  2. Step 2: Convert to fraction form
    11,759/24,490 = 24,490/x
  3. Step 3: Cross multiply
    11,759x = 24,490 × 24,490
  4. Step 4: Simplify right side
    11,759x = 599,760,100
  5. Step 5: Solve for x
    x = 599,760,100/11,759
  6. Step 6: Final answer
    x = 51,004.35

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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.