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Finding the Third Proportional to 16,884.28 and 36,386.72

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Solution

The third proportional to 16,884.28 and 36,386.72 is: 78,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.28 : 36,386.72 = 36,386.72 : x
  2. Step 2: Convert to fraction form
    16,884.28/36,386.72 = 36,386.72/x
  3. Step 3: Cross multiply
    16,884.28x = 36,386.72 × 36,386.72
  4. Step 4: Simplify right side
    16,884.28x = 1,323,993,301.39
  5. Step 5: Solve for x
    x = 1,323,993,301.39/16,884.28
  6. Step 6: Final answer
    x = 78,415.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.