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Finding the Third Proportional to 20,572.31 and 27,577.97

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Solution

The third proportional to 20,572.31 and 27,577.97 is: 36,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.31 : 27,577.97 = 27,577.97 : x
  2. Step 2: Convert to fraction form
    20,572.31/27,577.97 = 27,577.97/x
  3. Step 3: Cross multiply
    20,572.31x = 27,577.97 × 27,577.97
  4. Step 4: Simplify right side
    20,572.31x = 760,544,360.38
  5. Step 5: Solve for x
    x = 760,544,360.38/20,572.31
  6. Step 6: Final answer
    x = 36,969.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.