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Finding the Third Proportional to 1,945 and 4,253

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Solution

The third proportional to 1,945 and 4,253 is: 9,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945 : 4,253 = 4,253 : x
  2. Step 2: Convert to fraction form
    1,945/4,253 = 4,253/x
  3. Step 3: Cross multiply
    1,945x = 4,253 × 4,253
  4. Step 4: Simplify right side
    1,945x = 18,088,009
  5. Step 5: Solve for x
    x = 18,088,009/1,945
  6. Step 6: Final answer
    x = 9,299.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.