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Finding the Third Proportional to 19,498 and 42,235

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Solution

The third proportional to 19,498 and 42,235 is: 91,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 42,235 = 42,235 : x
  2. Step 2: Convert to fraction form
    19,498/42,235 = 42,235/x
  3. Step 3: Cross multiply
    19,498x = 42,235 × 42,235
  4. Step 4: Simplify right side
    19,498x = 1,783,795,225
  5. Step 5: Solve for x
    x = 1,783,795,225/19,498
  6. Step 6: Final answer
    x = 91,486.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.