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Finding the Third Proportional to 1,590.84 and 2,091.94

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Solution

The third proportional to 1,590.84 and 2,091.94 is: 2,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.84 : 2,091.94 = 2,091.94 : x
  2. Step 2: Convert to fraction form
    1,590.84/2,091.94 = 2,091.94/x
  3. Step 3: Cross multiply
    1,590.84x = 2,091.94 × 2,091.94
  4. Step 4: Simplify right side
    1,590.84x = 4,376,202.50
  5. Step 5: Solve for x
    x = 4,376,202.50/1,590.84
  6. Step 6: Final answer
    x = 2,750.87

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.