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Finding the Third Proportional to 2,039.06 and 4,254.05

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Solution

The third proportional to 2,039.06 and 4,254.05 is: 8,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.06 : 4,254.05 = 4,254.05 : x
  2. Step 2: Convert to fraction form
    2,039.06/4,254.05 = 4,254.05/x
  3. Step 3: Cross multiply
    2,039.06x = 4,254.05 × 4,254.05
  4. Step 4: Simplify right side
    2,039.06x = 18,096,914.81
  5. Step 5: Solve for x
    x = 18,096,914.81/2,039.06
  6. Step 6: Final answer
    x = 8,875.12

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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.