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Finding the Third Proportional to 4,203.14 and 5,612.73

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Solution

The third proportional to 4,203.14 and 5,612.73 is: 7,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.14 : 5,612.73 = 5,612.73 : x
  2. Step 2: Convert to fraction form
    4,203.14/5,612.73 = 5,612.73/x
  3. Step 3: Cross multiply
    4,203.14x = 5,612.73 × 5,612.73
  4. Step 4: Simplify right side
    4,203.14x = 31,502,743.31
  5. Step 5: Solve for x
    x = 31,502,743.31/4,203.14
  6. Step 6: Final answer
    x = 7,495.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.