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Finding the Third Proportional to 2,152.59 and 4,563.66

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Solution

The third proportional to 2,152.59 and 4,563.66 is: 9,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.59 : 4,563.66 = 4,563.66 : x
  2. Step 2: Convert to fraction form
    2,152.59/4,563.66 = 4,563.66/x
  3. Step 3: Cross multiply
    2,152.59x = 4,563.66 × 4,563.66
  4. Step 4: Simplify right side
    2,152.59x = 20,826,958.37
  5. Step 5: Solve for x
    x = 20,826,958.37/2,152.59
  6. Step 6: Final answer
    x = 9,675.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.