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Finding the Third Proportional to 8,292.94 and 18,214.59

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Solution

The third proportional to 8,292.94 and 18,214.59 is: 40,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.94 : 18,214.59 = 18,214.59 : x
  2. Step 2: Convert to fraction form
    8,292.94/18,214.59 = 18,214.59/x
  3. Step 3: Cross multiply
    8,292.94x = 18,214.59 × 18,214.59
  4. Step 4: Simplify right side
    8,292.94x = 331,771,425.48
  5. Step 5: Solve for x
    x = 331,771,425.48/8,292.94
  6. Step 6: Final answer
    x = 40,006.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.