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Finding the Third Proportional to 6,101 and 13,369

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Solution

The third proportional to 6,101 and 13,369 is: 29,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101 : 13,369 = 13,369 : x
  2. Step 2: Convert to fraction form
    6,101/13,369 = 13,369/x
  3. Step 3: Cross multiply
    6,101x = 13,369 × 13,369
  4. Step 4: Simplify right side
    6,101x = 178,730,161
  5. Step 5: Solve for x
    x = 178,730,161/6,101
  6. Step 6: Final answer
    x = 29,295.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.