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Finding the Third Proportional to 2,270.25 and 4,785.75

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Solution

The third proportional to 2,270.25 and 4,785.75 is: 10,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.25 : 4,785.75 = 4,785.75 : x
  2. Step 2: Convert to fraction form
    2,270.25/4,785.75 = 4,785.75/x
  3. Step 3: Cross multiply
    2,270.25x = 4,785.75 × 4,785.75
  4. Step 4: Simplify right side
    2,270.25x = 22,903,403.06
  5. Step 5: Solve for x
    x = 22,903,403.06/2,270.25
  6. Step 6: Final answer
    x = 10,088.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.