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Finding the Third Proportional to 16,397.50 and 35,873

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Solution

The third proportional to 16,397.50 and 35,873 is: 78,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.50 : 35,873 = 35,873 : x
  2. Step 2: Convert to fraction form
    16,397.50/35,873 = 35,873/x
  3. Step 3: Cross multiply
    16,397.50x = 35,873 × 35,873
  4. Step 4: Simplify right side
    16,397.50x = 1,286,872,129
  5. Step 5: Solve for x
    x = 1,286,872,129/16,397.50
  6. Step 6: Final answer
    x = 78,479.78

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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.