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Finding the Third Proportional to 2,144.25 and 4,970.25

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Solution

The third proportional to 2,144.25 and 4,970.25 is: 11,520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.25 : 4,970.25 = 4,970.25 : x
  2. Step 2: Convert to fraction form
    2,144.25/4,970.25 = 4,970.25/x
  3. Step 3: Cross multiply
    2,144.25x = 4,970.25 × 4,970.25
  4. Step 4: Simplify right side
    2,144.25x = 24,703,385.06
  5. Step 5: Solve for x
    x = 24,703,385.06/2,144.25
  6. Step 6: Final answer
    x = 11,520.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.