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Finding the Third Proportional to 30,228 and 42,493

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Solution

The third proportional to 30,228 and 42,493 is: 59,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228 : 42,493 = 42,493 : x
  2. Step 2: Convert to fraction form
    30,228/42,493 = 42,493/x
  3. Step 3: Cross multiply
    30,228x = 42,493 × 42,493
  4. Step 4: Simplify right side
    30,228x = 1,805,655,049
  5. Step 5: Solve for x
    x = 1,805,655,049/30,228
  6. Step 6: Final answer
    x = 59,734.52

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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.