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Finding the Third Proportional to 16,453.76 and 35,982.98

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Solution

The third proportional to 16,453.76 and 35,982.98 is: 78,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.76 : 35,982.98 = 35,982.98 : x
  2. Step 2: Convert to fraction form
    16,453.76/35,982.98 = 35,982.98/x
  3. Step 3: Cross multiply
    16,453.76x = 35,982.98 × 35,982.98
  4. Step 4: Simplify right side
    16,453.76x = 1,294,775,164.53
  5. Step 5: Solve for x
    x = 1,294,775,164.53/16,453.76
  6. Step 6: Final answer
    x = 78,691.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.