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Finding the Third Proportional to 6,062 and 14,153

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Solution

The third proportional to 6,062 and 14,153 is: 33,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,062 : 14,153 = 14,153 : x
  2. Step 2: Convert to fraction form
    6,062/14,153 = 14,153/x
  3. Step 3: Cross multiply
    6,062x = 14,153 × 14,153
  4. Step 4: Simplify right side
    6,062x = 200,307,409
  5. Step 5: Solve for x
    x = 200,307,409/6,062
  6. Step 6: Final answer
    x = 33,043.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.