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Finding the Third Proportional to 49,933.50 and 70,235

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Solution

The third proportional to 49,933.50 and 70,235 is: 98,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,933.50 : 70,235 = 70,235 : x
  2. Step 2: Convert to fraction form
    49,933.50/70,235 = 70,235/x
  3. Step 3: Cross multiply
    49,933.50x = 70,235 × 70,235
  4. Step 4: Simplify right side
    49,933.50x = 4,932,955,225
  5. Step 5: Solve for x
    x = 4,932,955,225/49,933.50
  6. Step 6: Final answer
    x = 98,790.50

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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.