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Finding the Third Proportional to 2,152.20 and 4,563.21

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Solution

The third proportional to 2,152.20 and 4,563.21 is: 9,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.20 : 4,563.21 = 4,563.21 : x
  2. Step 2: Convert to fraction form
    2,152.20/4,563.21 = 4,563.21/x
  3. Step 3: Cross multiply
    2,152.20x = 4,563.21 × 4,563.21
  4. Step 4: Simplify right side
    2,152.20x = 20,822,894.06
  5. Step 5: Solve for x
    x = 20,822,894.06/2,152.20
  6. Step 6: Final answer
    x = 9,675.19

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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.