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Finding the Third Proportional to 937.37 and 2,051.30

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Solution

The third proportional to 937.37 and 2,051.30 is: 4,488.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.37 : 2,051.30 = 2,051.30 : x
  2. Step 2: Convert to fraction form
    937.37/2,051.30 = 2,051.30/x
  3. Step 3: Cross multiply
    937.37x = 2,051.30 × 2,051.30
  4. Step 4: Simplify right side
    937.37x = 4,207,818.87
  5. Step 5: Solve for x
    x = 4,207,818.87/937.37
  6. Step 6: Final answer
    x = 4,488.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.