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Finding the Third Proportional to 20,042.44 and 31,154.63

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Solution

The third proportional to 20,042.44 and 31,154.63 is: 48,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.44 : 31,154.63 = 31,154.63 : x
  2. Step 2: Convert to fraction form
    20,042.44/31,154.63 = 31,154.63/x
  3. Step 3: Cross multiply
    20,042.44x = 31,154.63 × 31,154.63
  4. Step 4: Simplify right side
    20,042.44x = 970,610,658.89
  5. Step 5: Solve for x
    x = 970,610,658.89/20,042.44
  6. Step 6: Final answer
    x = 48,427.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.