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Finding the Third Proportional to 1,009.14 and 2,104.77

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Solution

The third proportional to 1,009.14 and 2,104.77 is: 4,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.14 : 2,104.77 = 2,104.77 : x
  2. Step 2: Convert to fraction form
    1,009.14/2,104.77 = 2,104.77/x
  3. Step 3: Cross multiply
    1,009.14x = 2,104.77 × 2,104.77
  4. Step 4: Simplify right side
    1,009.14x = 4,430,073.28
  5. Step 5: Solve for x
    x = 4,430,073.28/1,009.14
  6. Step 6: Final answer
    x = 4,389.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.