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Finding the Third Proportional to 1,844.38 and 2,780.54

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Solution

The third proportional to 1,844.38 and 2,780.54 is: 4,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.38 : 2,780.54 = 2,780.54 : x
  2. Step 2: Convert to fraction form
    1,844.38/2,780.54 = 2,780.54/x
  3. Step 3: Cross multiply
    1,844.38x = 2,780.54 × 2,780.54
  4. Step 4: Simplify right side
    1,844.38x = 7,731,381.02
  5. Step 5: Solve for x
    x = 7,731,381.02/1,844.38
  6. Step 6: Final answer
    x = 4,191.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.