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Finding the Third Proportional to 8,239.88 and 18,259.50

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Solution

The third proportional to 8,239.88 and 18,259.50 is: 40,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.88 : 18,259.50 = 18,259.50 : x
  2. Step 2: Convert to fraction form
    8,239.88/18,259.50 = 18,259.50/x
  3. Step 3: Cross multiply
    8,239.88x = 18,259.50 × 18,259.50
  4. Step 4: Simplify right side
    8,239.88x = 333,409,340.25
  5. Step 5: Solve for x
    x = 333,409,340.25/8,239.88
  6. Step 6: Final answer
    x = 40,462.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.