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Finding the Third Proportional to 3,537 and 7,251

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Solution

The third proportional to 3,537 and 7,251 is: 14,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 7,251 = 7,251 : x
  2. Step 2: Convert to fraction form
    3,537/7,251 = 7,251/x
  3. Step 3: Cross multiply
    3,537x = 7,251 × 7,251
  4. Step 4: Simplify right side
    3,537x = 52,577,001
  5. Step 5: Solve for x
    x = 52,577,001/3,537
  6. Step 6: Final answer
    x = 14,864.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.