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Finding the Third Proportional to 4,212.63 and 6,068.36

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Solution

The third proportional to 4,212.63 and 6,068.36 is: 8,741.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.63 : 6,068.36 = 6,068.36 : x
  2. Step 2: Convert to fraction form
    4,212.63/6,068.36 = 6,068.36/x
  3. Step 3: Cross multiply
    4,212.63x = 6,068.36 × 6,068.36
  4. Step 4: Simplify right side
    4,212.63x = 36,824,938.10
  5. Step 5: Solve for x
    x = 36,824,938.10/4,212.63
  6. Step 6: Final answer
    x = 8,741.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.