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Finding the Third Proportional to 8,677.13 and 18,219.94

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Solution

The third proportional to 8,677.13 and 18,219.94 is: 38,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.13 : 18,219.94 = 18,219.94 : x
  2. Step 2: Convert to fraction form
    8,677.13/18,219.94 = 18,219.94/x
  3. Step 3: Cross multiply
    8,677.13x = 18,219.94 × 18,219.94
  4. Step 4: Simplify right side
    8,677.13x = 331,966,122.50
  5. Step 5: Solve for x
    x = 331,966,122.50/8,677.13
  6. Step 6: Final answer
    x = 38,257.62

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.