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Finding the Third Proportional to 5,906 and 9,509

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Solution

The third proportional to 5,906 and 9,509 is: 15,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 9,509 = 9,509 : x
  2. Step 2: Convert to fraction form
    5,906/9,509 = 9,509/x
  3. Step 3: Cross multiply
    5,906x = 9,509 × 9,509
  4. Step 4: Simplify right side
    5,906x = 90,421,081
  5. Step 5: Solve for x
    x = 90,421,081/5,906
  6. Step 6: Final answer
    x = 15,310.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.