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Finding the Third Proportional to 20,445.75 and 27,820.13

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Solution

The third proportional to 20,445.75 and 27,820.13 is: 37,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445.75 : 27,820.13 = 27,820.13 : x
  2. Step 2: Convert to fraction form
    20,445.75/27,820.13 = 27,820.13/x
  3. Step 3: Cross multiply
    20,445.75x = 27,820.13 × 27,820.13
  4. Step 4: Simplify right side
    20,445.75x = 773,959,355.02
  5. Step 5: Solve for x
    x = 773,959,355.02/20,445.75
  6. Step 6: Final answer
    x = 37,854.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.