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Finding the Third Proportional to 2,010.75 and 2,821.13

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Solution

The third proportional to 2,010.75 and 2,821.13 is: 3,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.75 : 2,821.13 = 2,821.13 : x
  2. Step 2: Convert to fraction form
    2,010.75/2,821.13 = 2,821.13/x
  3. Step 3: Cross multiply
    2,010.75x = 2,821.13 × 2,821.13
  4. Step 4: Simplify right side
    2,010.75x = 7,958,746.27
  5. Step 5: Solve for x
    x = 7,958,746.27/2,010.75
  6. Step 6: Final answer
    x = 3,958.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.