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Finding the Third Proportional to 19,785 and 43,458

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Solution

The third proportional to 19,785 and 43,458 is: 95,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785 : 43,458 = 43,458 : x
  2. Step 2: Convert to fraction form
    19,785/43,458 = 43,458/x
  3. Step 3: Cross multiply
    19,785x = 43,458 × 43,458
  4. Step 4: Simplify right side
    19,785x = 1,888,597,764
  5. Step 5: Solve for x
    x = 1,888,597,764/19,785
  6. Step 6: Final answer
    x = 95,456.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.