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Finding the Third Proportional to 20,703 and 45,084

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Solution

The third proportional to 20,703 and 45,084 is: 98,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703 : 45,084 = 45,084 : x
  2. Step 2: Convert to fraction form
    20,703/45,084 = 45,084/x
  3. Step 3: Cross multiply
    20,703x = 45,084 × 45,084
  4. Step 4: Simplify right side
    20,703x = 2,032,567,056
  5. Step 5: Solve for x
    x = 2,032,567,056/20,703
  6. Step 6: Final answer
    x = 98,177.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.