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Finding the Third Proportional to 11,559 and 24,498

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Solution

The third proportional to 11,559 and 24,498 is: 51,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,559 : 24,498 = 24,498 : x
  2. Step 2: Convert to fraction form
    11,559/24,498 = 24,498/x
  3. Step 3: Cross multiply
    11,559x = 24,498 × 24,498
  4. Step 4: Simplify right side
    11,559x = 600,152,004
  5. Step 5: Solve for x
    x = 600,152,004/11,559
  6. Step 6: Final answer
    x = 51,920.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.