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Finding the Third Proportional to 8,296.59 and 18,050.34

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Solution

The third proportional to 8,296.59 and 18,050.34 is: 39,270.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.59 : 18,050.34 = 18,050.34 : x
  2. Step 2: Convert to fraction form
    8,296.59/18,050.34 = 18,050.34/x
  3. Step 3: Cross multiply
    8,296.59x = 18,050.34 × 18,050.34
  4. Step 4: Simplify right side
    8,296.59x = 325,814,909.49
  5. Step 5: Solve for x
    x = 325,814,909.49/8,296.59
  6. Step 6: Final answer
    x = 39,270.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.