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Finding the Third Proportional to 19,945 and 42,530

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Solution

The third proportional to 19,945 and 42,530 is: 90,689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,945 : 42,530 = 42,530 : x
  2. Step 2: Convert to fraction form
    19,945/42,530 = 42,530/x
  3. Step 3: Cross multiply
    19,945x = 42,530 × 42,530
  4. Step 4: Simplify right side
    19,945x = 1,808,800,900
  5. Step 5: Solve for x
    x = 1,808,800,900/19,945
  6. Step 6: Final answer
    x = 90,689.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.