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Finding the Third Proportional to 18,352 and 43,288

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Solution

The third proportional to 18,352 and 43,288 is: 102,106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,352 : 43,288 = 43,288 : x
  2. Step 2: Convert to fraction form
    18,352/43,288 = 43,288/x
  3. Step 3: Cross multiply
    18,352x = 43,288 × 43,288
  4. Step 4: Simplify right side
    18,352x = 1,873,850,944
  5. Step 5: Solve for x
    x = 1,873,850,944/18,352
  6. Step 6: Final answer
    x = 102,106.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.