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Finding the Third Proportional to 18,559 and 40,009

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Solution

The third proportional to 18,559 and 40,009 is: 86,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,559 : 40,009 = 40,009 : x
  2. Step 2: Convert to fraction form
    18,559/40,009 = 40,009/x
  3. Step 3: Cross multiply
    18,559x = 40,009 × 40,009
  4. Step 4: Simplify right side
    18,559x = 1,600,720,081
  5. Step 5: Solve for x
    x = 1,600,720,081/18,559
  6. Step 6: Final answer
    x = 86,250.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.