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Finding the Third Proportional to 20,374.38 and 31,166.94

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Solution

The third proportional to 20,374.38 and 31,166.94 is: 47,676.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.38 : 31,166.94 = 31,166.94 : x
  2. Step 2: Convert to fraction form
    20,374.38/31,166.94 = 31,166.94/x
  3. Step 3: Cross multiply
    20,374.38x = 31,166.94 × 31,166.94
  4. Step 4: Simplify right side
    20,374.38x = 971,377,993.13
  5. Step 5: Solve for x
    x = 971,377,993.13/20,374.38
  6. Step 6: Final answer
    x = 47,676.46

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1.5x scale

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.