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Finding the Third Proportional to 2,068.45 and 4,032.49

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Solution

The third proportional to 2,068.45 and 4,032.49 is: 7,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.45 : 4,032.49 = 4,032.49 : x
  2. Step 2: Convert to fraction form
    2,068.45/4,032.49 = 4,032.49/x
  3. Step 3: Cross multiply
    2,068.45x = 4,032.49 × 4,032.49
  4. Step 4: Simplify right side
    2,068.45x = 16,260,993.24
  5. Step 5: Solve for x
    x = 16,260,993.24/2,068.45
  6. Step 6: Final answer
    x = 7,861.43

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.