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Finding the Third Proportional to 2,073.87 and 4,477.64

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Solution

The third proportional to 2,073.87 and 4,477.64 is: 9,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.87 : 4,477.64 = 4,477.64 : x
  2. Step 2: Convert to fraction form
    2,073.87/4,477.64 = 4,477.64/x
  3. Step 3: Cross multiply
    2,073.87x = 4,477.64 × 4,477.64
  4. Step 4: Simplify right side
    2,073.87x = 20,049,265.57
  5. Step 5: Solve for x
    x = 20,049,265.57/2,073.87
  6. Step 6: Final answer
    x = 9,667.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.