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Finding the Third Proportional to 10,080 and 14,200

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Solution

The third proportional to 10,080 and 14,200 is: 20,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080 : 14,200 = 14,200 : x
  2. Step 2: Convert to fraction form
    10,080/14,200 = 14,200/x
  3. Step 3: Cross multiply
    10,080x = 14,200 × 14,200
  4. Step 4: Simplify right side
    10,080x = 201,640,000
  5. Step 5: Solve for x
    x = 201,640,000/10,080
  6. Step 6: Final answer
    x = 20,003.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.