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Finding the Third Proportional to 4,586 and 7,251

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Solution

The third proportional to 4,586 and 7,251 is: 11,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,586 : 7,251 = 7,251 : x
  2. Step 2: Convert to fraction form
    4,586/7,251 = 7,251/x
  3. Step 3: Cross multiply
    4,586x = 7,251 × 7,251
  4. Step 4: Simplify right side
    4,586x = 52,577,001
  5. Step 5: Solve for x
    x = 52,577,001/4,586
  6. Step 6: Final answer
    x = 11,464.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.