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Finding the Third Proportional to 20,420.44 and 32,514.75

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Solution

The third proportional to 20,420.44 and 32,514.75 is: 51,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420.44 : 32,514.75 = 32,514.75 : x
  2. Step 2: Convert to fraction form
    20,420.44/32,514.75 = 32,514.75/x
  3. Step 3: Cross multiply
    20,420.44x = 32,514.75 × 32,514.75
  4. Step 4: Simplify right side
    20,420.44x = 1,057,208,967.56
  5. Step 5: Solve for x
    x = 1,057,208,967.56/20,420.44
  6. Step 6: Final answer
    x = 51,772.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.