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Finding the Third Proportional to 37,804 and 88,300

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Solution

The third proportional to 37,804 and 88,300 is: 206,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804 : 88,300 = 88,300 : x
  2. Step 2: Convert to fraction form
    37,804/88,300 = 88,300/x
  3. Step 3: Cross multiply
    37,804x = 88,300 × 88,300
  4. Step 4: Simplify right side
    37,804x = 7,796,890,000
  5. Step 5: Solve for x
    x = 7,796,890,000/37,804
  6. Step 6: Final answer
    x = 206,245.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.