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Finding the Third Proportional to 20,125.97 and 30,948.33

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Solution

The third proportional to 20,125.97 and 30,948.33 is: 47,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125.97 : 30,948.33 = 30,948.33 : x
  2. Step 2: Convert to fraction form
    20,125.97/30,948.33 = 30,948.33/x
  3. Step 3: Cross multiply
    20,125.97x = 30,948.33 × 30,948.33
  4. Step 4: Simplify right side
    20,125.97x = 957,799,013.73
  5. Step 5: Solve for x
    x = 957,799,013.73/20,125.97
  6. Step 6: Final answer
    x = 47,590.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.