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Finding the Third Proportional to 2,153.25 and 4,729.75

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Solution

The third proportional to 2,153.25 and 4,729.75 is: 10,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.25 : 4,729.75 = 4,729.75 : x
  2. Step 2: Convert to fraction form
    2,153.25/4,729.75 = 4,729.75/x
  3. Step 3: Cross multiply
    2,153.25x = 4,729.75 × 4,729.75
  4. Step 4: Simplify right side
    2,153.25x = 22,370,535.06
  5. Step 5: Solve for x
    x = 22,370,535.06/2,153.25
  6. Step 6: Final answer
    x = 10,389.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.