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Finding the Third Proportional to 39,711 and 94,795.50

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Solution

The third proportional to 39,711 and 94,795.50 is: 226,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,711 : 94,795.50 = 94,795.50 : x
  2. Step 2: Convert to fraction form
    39,711/94,795.50 = 94,795.50/x
  3. Step 3: Cross multiply
    39,711x = 94,795.50 × 94,795.50
  4. Step 4: Simplify right side
    39,711x = 8,986,186,820.25
  5. Step 5: Solve for x
    x = 8,986,186,820.25/39,711
  6. Step 6: Final answer
    x = 226,289.61

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.