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Finding the Third Proportional to 45,982.50 and 70,311

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Solution

The third proportional to 45,982.50 and 70,311 is: 107,511.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982.50 : 70,311 = 70,311 : x
  2. Step 2: Convert to fraction form
    45,982.50/70,311 = 70,311/x
  3. Step 3: Cross multiply
    45,982.50x = 70,311 × 70,311
  4. Step 4: Simplify right side
    45,982.50x = 4,943,636,721
  5. Step 5: Solve for x
    x = 4,943,636,721/45,982.50
  6. Step 6: Final answer
    x = 107,511.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.