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Finding the Third Proportional to 11,709 and 24,794

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Solution

The third proportional to 11,709 and 24,794 is: 52,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709 : 24,794 = 24,794 : x
  2. Step 2: Convert to fraction form
    11,709/24,794 = 24,794/x
  3. Step 3: Cross multiply
    11,709x = 24,794 × 24,794
  4. Step 4: Simplify right side
    11,709x = 614,742,436
  5. Step 5: Solve for x
    x = 614,742,436/11,709
  6. Step 6: Final answer
    x = 52,501.70

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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.