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Finding the Third Proportional to 20,324.25 and 30,877.88

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Solution

The third proportional to 20,324.25 and 30,877.88 is: 46,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,324.25 : 30,877.88 = 30,877.88 : x
  2. Step 2: Convert to fraction form
    20,324.25/30,877.88 = 30,877.88/x
  3. Step 3: Cross multiply
    20,324.25x = 30,877.88 × 30,877.88
  4. Step 4: Simplify right side
    20,324.25x = 953,443,164.52
  5. Step 5: Solve for x
    x = 953,443,164.52/20,324.25
  6. Step 6: Final answer
    x = 46,911.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.