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Finding the Third Proportional to 2,039.55 and 4,298.06

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Solution

The third proportional to 2,039.55 and 4,298.06 is: 9,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.55 : 4,298.06 = 4,298.06 : x
  2. Step 2: Convert to fraction form
    2,039.55/4,298.06 = 4,298.06/x
  3. Step 3: Cross multiply
    2,039.55x = 4,298.06 × 4,298.06
  4. Step 4: Simplify right side
    2,039.55x = 18,473,341.25
  5. Step 5: Solve for x
    x = 18,473,341.25/2,039.55
  6. Step 6: Final answer
    x = 9,057.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.