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Finding the Third Proportional to 2,157.47 and 3,460.64

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Solution

The third proportional to 2,157.47 and 3,460.64 is: 5,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.47 : 3,460.64 = 3,460.64 : x
  2. Step 2: Convert to fraction form
    2,157.47/3,460.64 = 3,460.64/x
  3. Step 3: Cross multiply
    2,157.47x = 3,460.64 × 3,460.64
  4. Step 4: Simplify right side
    2,157.47x = 11,976,033.54
  5. Step 5: Solve for x
    x = 11,976,033.54/2,157.47
  6. Step 6: Final answer
    x = 5,550.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.