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Finding the Third Proportional to 5,042.25 and 7,274.25

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Solution

The third proportional to 5,042.25 and 7,274.25 is: 10,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.25 : 7,274.25 = 7,274.25 : x
  2. Step 2: Convert to fraction form
    5,042.25/7,274.25 = 7,274.25/x
  3. Step 3: Cross multiply
    5,042.25x = 7,274.25 × 7,274.25
  4. Step 4: Simplify right side
    5,042.25x = 52,914,713.06
  5. Step 5: Solve for x
    x = 52,914,713.06/5,042.25
  6. Step 6: Final answer
    x = 10,494.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.