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Finding the Third Proportional to 2,914.50 and 6,713.25

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Solution

The third proportional to 2,914.50 and 6,713.25 is: 15,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.50 : 6,713.25 = 6,713.25 : x
  2. Step 2: Convert to fraction form
    2,914.50/6,713.25 = 6,713.25/x
  3. Step 3: Cross multiply
    2,914.50x = 6,713.25 × 6,713.25
  4. Step 4: Simplify right side
    2,914.50x = 45,067,725.56
  5. Step 5: Solve for x
    x = 45,067,725.56/2,914.50
  6. Step 6: Final answer
    x = 15,463.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.