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Finding the Third Proportional to 6,537 and 14,249

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Solution

The third proportional to 6,537 and 14,249 is: 31,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 14,249 = 14,249 : x
  2. Step 2: Convert to fraction form
    6,537/14,249 = 14,249/x
  3. Step 3: Cross multiply
    6,537x = 14,249 × 14,249
  4. Step 4: Simplify right side
    6,537x = 203,034,001
  5. Step 5: Solve for x
    x = 203,034,001/6,537
  6. Step 6: Final answer
    x = 31,059.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.