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Finding the Third Proportional to 20,374.22 and 31,166.91

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Solution

The third proportional to 20,374.22 and 31,166.91 is: 47,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.22 : 31,166.91 = 31,166.91 : x
  2. Step 2: Convert to fraction form
    20,374.22/31,166.91 = 31,166.91/x
  3. Step 3: Cross multiply
    20,374.22x = 31,166.91 × 31,166.91
  4. Step 4: Simplify right side
    20,374.22x = 971,376,045.20
  5. Step 5: Solve for x
    x = 971,376,045.20/20,374.22
  6. Step 6: Final answer
    x = 47,676.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.