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Finding the Third Proportional to 20,841 and 27,373.50

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Solution

The third proportional to 20,841 and 27,373.50 is: 35,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841 : 27,373.50 = 27,373.50 : x
  2. Step 2: Convert to fraction form
    20,841/27,373.50 = 27,373.50/x
  3. Step 3: Cross multiply
    20,841x = 27,373.50 × 27,373.50
  4. Step 4: Simplify right side
    20,841x = 749,308,502.25
  5. Step 5: Solve for x
    x = 749,308,502.25/20,841
  6. Step 6: Final answer
    x = 35,953.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.