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Finding the Third Proportional to 6,137 and 13,361

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Solution

The third proportional to 6,137 and 13,361 is: 29,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137 : 13,361 = 13,361 : x
  2. Step 2: Convert to fraction form
    6,137/13,361 = 13,361/x
  3. Step 3: Cross multiply
    6,137x = 13,361 × 13,361
  4. Step 4: Simplify right side
    6,137x = 178,516,321
  5. Step 5: Solve for x
    x = 178,516,321/6,137
  6. Step 6: Final answer
    x = 29,088.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.