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Finding the Third Proportional to 16,513.56 and 18,299.04

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Solution

The third proportional to 16,513.56 and 18,299.04 is: 20,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.56 : 18,299.04 = 18,299.04 : x
  2. Step 2: Convert to fraction form
    16,513.56/18,299.04 = 18,299.04/x
  3. Step 3: Cross multiply
    16,513.56x = 18,299.04 × 18,299.04
  4. Step 4: Simplify right side
    16,513.56x = 334,854,830.61
  5. Step 5: Solve for x
    x = 334,854,830.61/16,513.56
  6. Step 6: Final answer
    x = 20,277.57

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.