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Finding the Third Proportional to 11,757 and 24,487

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Solution

The third proportional to 11,757 and 24,487 is: 51,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757 : 24,487 = 24,487 : x
  2. Step 2: Convert to fraction form
    11,757/24,487 = 24,487/x
  3. Step 3: Cross multiply
    11,757x = 24,487 × 24,487
  4. Step 4: Simplify right side
    11,757x = 599,613,169
  5. Step 5: Solve for x
    x = 599,613,169/11,757
  6. Step 6: Final answer
    x = 51,000.52

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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.