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Finding the Third Proportional to 20,794.22 and 32,577.82

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Solution

The third proportional to 20,794.22 and 32,577.82 is: 51,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.22 : 32,577.82 = 32,577.82 : x
  2. Step 2: Convert to fraction form
    20,794.22/32,577.82 = 32,577.82/x
  3. Step 3: Cross multiply
    20,794.22x = 32,577.82 × 32,577.82
  4. Step 4: Simplify right side
    20,794.22x = 1,061,314,376.31
  5. Step 5: Solve for x
    x = 1,061,314,376.31/20,794.22
  6. Step 6: Final answer
    x = 51,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.