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Finding the Third Proportional to 6,592 and 14,114

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Solution

The third proportional to 6,592 and 14,114 is: 30,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592 : 14,114 = 14,114 : x
  2. Step 2: Convert to fraction form
    6,592/14,114 = 14,114/x
  3. Step 3: Cross multiply
    6,592x = 14,114 × 14,114
  4. Step 4: Simplify right side
    6,592x = 199,204,996
  5. Step 5: Solve for x
    x = 199,204,996/6,592
  6. Step 6: Final answer
    x = 30,219.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.