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Finding the Third Proportional to 11,829 and 18,513

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Solution

The third proportional to 11,829 and 18,513 is: 28,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 18,513 = 18,513 : x
  2. Step 2: Convert to fraction form
    11,829/18,513 = 18,513/x
  3. Step 3: Cross multiply
    11,829x = 18,513 × 18,513
  4. Step 4: Simplify right side
    11,829x = 342,731,169
  5. Step 5: Solve for x
    x = 342,731,169/11,829
  6. Step 6: Final answer
    x = 28,973.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.