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Finding the Third Proportional to 1,993.57 and 4,656.45

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Solution

The third proportional to 1,993.57 and 4,656.45 is: 10,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.57 : 4,656.45 = 4,656.45 : x
  2. Step 2: Convert to fraction form
    1,993.57/4,656.45 = 4,656.45/x
  3. Step 3: Cross multiply
    1,993.57x = 4,656.45 × 4,656.45
  4. Step 4: Simplify right side
    1,993.57x = 21,682,482.95
  5. Step 5: Solve for x
    x = 21,682,482.95/1,993.57
  6. Step 6: Final answer
    x = 10,876.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.