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Finding the Third Proportional to 20,047.50 and 27,383.06

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Solution

The third proportional to 20,047.50 and 27,383.06 is: 37,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.50 : 27,383.06 = 27,383.06 : x
  2. Step 2: Convert to fraction form
    20,047.50/27,383.06 = 27,383.06/x
  3. Step 3: Cross multiply
    20,047.50x = 27,383.06 × 27,383.06
  4. Step 4: Simplify right side
    20,047.50x = 749,832,111.88
  5. Step 5: Solve for x
    x = 749,832,111.88/20,047.50
  6. Step 6: Final answer
    x = 37,402.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.