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Finding the Third Proportional to 4,009 and 8,459

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Solution

The third proportional to 4,009 and 8,459 is: 17,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009 : 8,459 = 8,459 : x
  2. Step 2: Convert to fraction form
    4,009/8,459 = 8,459/x
  3. Step 3: Cross multiply
    4,009x = 8,459 × 8,459
  4. Step 4: Simplify right side
    4,009x = 71,554,681
  5. Step 5: Solve for x
    x = 71,554,681/4,009
  6. Step 6: Final answer
    x = 17,848.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.