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Finding the Third Proportional to 2,009.81 and 2,910.94

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Solution

The third proportional to 2,009.81 and 2,910.94 is: 4,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.81 : 2,910.94 = 2,910.94 : x
  2. Step 2: Convert to fraction form
    2,009.81/2,910.94 = 2,910.94/x
  3. Step 3: Cross multiply
    2,009.81x = 2,910.94 × 2,910.94
  4. Step 4: Simplify right side
    2,009.81x = 8,473,557.13
  5. Step 5: Solve for x
    x = 8,473,557.13/2,009.81
  6. Step 6: Final answer
    x = 4,216.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.