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Finding the Third Proportional to 949.50 and 2,270.25

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Solution

The third proportional to 949.50 and 2,270.25 is: 5,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.50 : 2,270.25 = 2,270.25 : x
  2. Step 2: Convert to fraction form
    949.50/2,270.25 = 2,270.25/x
  3. Step 3: Cross multiply
    949.50x = 2,270.25 × 2,270.25
  4. Step 4: Simplify right side
    949.50x = 5,154,035.06
  5. Step 5: Solve for x
    x = 5,154,035.06/949.50
  6. Step 6: Final answer
    x = 5,428.16

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.