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Finding the Third Proportional to 30,219.75 and 42,481.13

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Solution

The third proportional to 30,219.75 and 42,481.13 is: 59,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.75 : 42,481.13 = 42,481.13 : x
  2. Step 2: Convert to fraction form
    30,219.75/42,481.13 = 42,481.13/x
  3. Step 3: Cross multiply
    30,219.75x = 42,481.13 × 42,481.13
  4. Step 4: Simplify right side
    30,219.75x = 1,804,645,981.27
  5. Step 5: Solve for x
    x = 1,804,645,981.27/30,219.75
  6. Step 6: Final answer
    x = 59,717.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.