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Finding the Third Proportional to 3,392.25 and 5,153.75

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Solution

The third proportional to 3,392.25 and 5,153.75 is: 7,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.25 : 5,153.75 = 5,153.75 : x
  2. Step 2: Convert to fraction form
    3,392.25/5,153.75 = 5,153.75/x
  3. Step 3: Cross multiply
    3,392.25x = 5,153.75 × 5,153.75
  4. Step 4: Simplify right side
    3,392.25x = 26,561,139.06
  5. Step 5: Solve for x
    x = 26,561,139.06/3,392.25
  6. Step 6: Final answer
    x = 7,829.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.