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Finding the Third Proportional to 2,068.45 and 4,212.84

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Solution

The third proportional to 2,068.45 and 4,212.84 is: 8,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.45 : 4,212.84 = 4,212.84 : x
  2. Step 2: Convert to fraction form
    2,068.45/4,212.84 = 4,212.84/x
  3. Step 3: Cross multiply
    2,068.45x = 4,212.84 × 4,212.84
  4. Step 4: Simplify right side
    2,068.45x = 17,748,052.46
  5. Step 5: Solve for x
    x = 17,748,052.46/2,068.45
  6. Step 6: Final answer
    x = 8,580.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.