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Finding the Third Proportional to 6,537 and 13,950

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Solution

The third proportional to 6,537 and 13,950 is: 29,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 13,950 = 13,950 : x
  2. Step 2: Convert to fraction form
    6,537/13,950 = 13,950/x
  3. Step 3: Cross multiply
    6,537x = 13,950 × 13,950
  4. Step 4: Simplify right side
    6,537x = 194,602,500
  5. Step 5: Solve for x
    x = 194,602,500/6,537
  6. Step 6: Final answer
    x = 29,769.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.