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Finding the Third Proportional to 19,841 and 26,932.50

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Solution

The third proportional to 19,841 and 26,932.50 is: 36,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,841 : 26,932.50 = 26,932.50 : x
  2. Step 2: Convert to fraction form
    19,841/26,932.50 = 26,932.50/x
  3. Step 3: Cross multiply
    19,841x = 26,932.50 × 26,932.50
  4. Step 4: Simplify right side
    19,841x = 725,359,556.25
  5. Step 5: Solve for x
    x = 725,359,556.25/19,841
  6. Step 6: Final answer
    x = 36,558.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.