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Finding the Third Proportional to 6,105 and 14,340

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Solution

The third proportional to 6,105 and 14,340 is: 33,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 14,340 = 14,340 : x
  2. Step 2: Convert to fraction form
    6,105/14,340 = 14,340/x
  3. Step 3: Cross multiply
    6,105x = 14,340 × 14,340
  4. Step 4: Simplify right side
    6,105x = 205,635,600
  5. Step 5: Solve for x
    x = 205,635,600/6,105
  6. Step 6: Final answer
    x = 33,683.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.